Ok, here's what I found to support my position on Rocket:
Weaponry:
Rocket Raccoon, as depicted on panel, typically carries the following armaments and gear:
-Dual Laser Pistols
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-198_zps63856fe9.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyv28-013_zps8f22203b.jpg
-Dual Plasma Blasters
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyv3002-011_zps7452aa72.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoon2014--SpecialEdition-DigitalExclusive001-017_zpse6fcbf8b.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyv3002-010_zps3711bc8d.jpg
-High Yield Plasma Rifle (variable make and yield)
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyInfinite2014001-044_zpsad6c7455.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyv207-011_zps762310a4.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/Gotg-021_zps49cedbdd.jpg
-Gauss Cannon (variable make and yield)
http://i179.photobucket.com/albums/w313/illadelph12_prime/gotg_13_012_zpsc97f2d5d.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxy-Angelav2-013_zps66bb16f0.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxy-Angelav2-021_zps92c72da4.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyv3001-011_zpsbebb0d29.jpg
-His signature Rocket Skates*
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-072_zpsae7baa95.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-121_zps09ee73c2.jpg
early canon, which he uses in every appearance and is the source of his namesake "Rocket".
or
Rocket Pack
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-251_zps65c2523c.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyInfinite2014001-069_zps67a46644.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyInfinite2014001-070_zps459be372.jpg
After joining GotG the team's primary means of transportation is teleportation with Cosmo coordinating it telepathically from Knowhere, so he's not been depicted as using flight on a regular basis as he was before, though per the scans you can see he does carry a rocket pack with him in his gear (Gamora borrows the rocket pack from him). Rocket (and the Guardians) also utilize anti-matter charges and grenades, as well as photonic charges. So for the position I'm taking as to why I support Rocket, I'm arguing from the standpoint that these items are his regularly utilized equipment as he's been depicted as using them on more than one occasion.
Since we're taking the liberty of assuming Batman always has every item he's ever been depicted using in his possession at all times, even when their only depicted as being used once, I think it's only fair to give the same respect, in a limited fashion of course, to Rocket. I'm not going to use any of his more outlandish high end weaponry, I'm just going to limit Rocket to the above tech.
Now, for combat effectiveness, this is essentially a comic trope at this point, but Rocket Raccoon, like Batman, also has reflexes good enough to dodge both bullets and laser blasts.
Here, Rocket receives a package which a Killer Clown robot (sent by Star-Thief) springs out of, getting the drop on an unarmed Rocket in close quarters and Rocket is agile enough to dodge multiple gunshots at close range, escape to brandish a stapler gun, fire off staples in order to secure the robots arm to a wall, then sneak away to a store room to grab a mop and lay the robot out:
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-153_zpsf00f0602.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-154_zpscbbc8e6a.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-155_zps47f852d1.jpg
Here, police officers get the drop on Rocket in a wrestling ring after Groot has just won a match against an alien creature and try to arrest him for crimes he's been framed for. One of the officers fires on Rocket as he's reaching for his ID. Rocket is fast enough to dodge multiple point blank plasma blaster shots and escape the ring:
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoon2014--SpecialEdition-DigitalExclusive001-011_zps61fd1d27.jpg
Here Rocket takes on a large group of Killer Clowns and dodges multiple volleys of incomming blaster fire while effortlessly taking out multiple targets:
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-184_zpsdbb6b37d.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-185_zps79928589.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-186_zps4cfa9ac7.jpg
Also:
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-198_zps63856fe9.jpg
There's also his combat with his Rocket Skates:
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-121_zps09ee73c2.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-050_zpsf3bdbe18.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/RocketRaccoonampGroot-TheCompleteCollection-051_zps10f64da7.jpg
So Rocket is not a slouch in the agility and reflexes department, and it's not going to be as simple as simply tossing a couple smoke grenades/flash bangs/etc from 500 Meters away and then taking him out with some kind of batarang, sonic pulse device, etc., because, with the starting distance at which Batman and Rocket start apart, which again, I'll reiterate, is a half of a kilometer apart at the start of the match, it's going to take Batman covering some ground to get Rocket within the range of his weapons. At least 20-30 seconds to close 300 meters.
My position on this match is very simple, however. Due to the distance at which Batman and Rocket begin, and the weaponry Rocket regularly employs, I think when the match starts Rocket can simply fly up in the air while repeatedly doing this with his Gauss Cannon:
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyv3001-011_zpsbebb0d29.jpg
http://i179.photobucket.com/albums/w313/illadelph12_prime/GuardiansoftheGalaxyv3001-012_zpsf8b35cd6.jpg
Simply blanketing the battlefield with it until Batman's dead/unconscious because with the distance and Batman being grounded and without cover (no buildings, no trees, etc), eventually Rocket's going to hit him or near him due to the yield and blast radius. It's a very simple position. It's not a matter of Rocket necessarily being a better combatant or fighter than Batman, which I'll state here, plainly:
Batman is a better fighter than Rocket Raccoon.
The reason I'm saying Rocket wins is the stipulations of the match, the starting distance the combatants start at, the complete lack of cover on the battlefield for Batman, and the blast output and range of Rocket's weaponry.
That's all.
Now, I'm actually on my way out to hang with some friends, so I'll check back in tomorrow. Sorry for the delay in my reply. Work and social life took precedence.