Is this JLA Batman? If so, there's no one on this list that are close to some of the beings he's thrown down with.
Hell, with prep he stood toe-to-toe with Darkseid for a bit in Superman/Batman: Supergirl.
Plus, since we can assume Spidey would give Batman all the info he has on all the guys Batman would face before he left, I'd say Batman is capable of cleaning the hood up for Spiderman.