I think Batsie would need some special padding in his gloves so he could at least keep his fists in one piece. But u know that the Bat is gonna keep hitting no matter the injury. He needs to protect his fists otherwise he ain't gonna last for long. Wolvie doesn't have a glass jaw so to slow him down u need to puncture him and while he is healing factor is working he is a bit more vulnerable for a few seconds. Mind me saying a few seconds cuz his H factor is uncharted. Wolvie's best fights were with Sabertooth and Cyber, well that is all that I have seen, and these fighters are extremly strong.
The Bat should plate his chest and gloves for this one. Take out a new Bat suit for this fight, cuz he needs more power to knock Wolvie out. Maybe if he lands a 300 pound pipe on his head, that should do some damage. So the Bat would use more of the circumstance to his favour then Wolvie.
Put them in a square room with nothing in it, ouch for the Bat.