You gotta be kidding me? Are you really expecting people to argue this? Deadpool would have him dead in a matter of minutes.
Yeah yeah, but Nightwang was trained by the bat... so what? Deadpool is a stud, and he'd own Nightwing. Plus, DP has that whole super freaky regeneration thingy going for him. And, I could be wrong, but Nightwing still has absolutely no superpowers.
It may actually be closer than people think. Shen Kuei owned Deadpool just using hand to hand, but I'm not sure if Nightwing is on par with Shen Kuei in hand to hand. If he is, he has good chance of beating deadpool up close at least. I'll reserve judgement, but I'll give Deadpool the advantage at the moment.
In skill Cat is more or less equals Shang Chi who is more or less equal to Shiva. Ontop of that both Cat and Chi can amp their stats to the extreme with their chi. Shen Kuei would steam roll Nightwing in h2h, heck he could steam roll Dick and Bruce at the same time.
Deadpool wins
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Nightwing isn't superhuman fast though. Deadpool needs one hit to end this. Nightwing can hit him loads of times, Wade will just heal and kill him..............
I can't say how this goes, but I still think Nightwing puts up a better fight than everyone thinks. Afterall, the guy goes round after round with Deathstroke, that says a lot.