Is this the emulator? I'll give that a go since I would much prefer to play with the PS2 pad.
Yup, that's the one I'm using.
I've got a normal GTX 560, not a Ti, I'm not sure what the performance difference is.
I played at 1080p, all settings at max except AA at fxaa high, no motion blur, no AO and no physx. And with those settings my out door framerate is around 30-40. It's possible I'm cpu limited. My CPU is a Core2Quad Q9400.
I keep forgetting there was a regular 560. Anyway, I would think your rig should be able to handle this game fine. I'd try turning down a few settings one at a time to see if you can uncover the culprit. OTOH, some people seem to be running fine with lesser rigs so who knows.
But well, right now the crashing problem is the most major problem... I'm not sure how to fix that. Asylum crashed quite a bit too, but it happened so rarely that I just stuck through it.
G4WL? Are you loggin in okay? Try re-verifying your cache files as a few others have mentioned that there's were incomplete.
@ JacksUsername, I see that you mentioned you were prompted to install an update for G4WL and I've seen a few others mention this as well. Funny because I never had to update. The game installed the version it came with and as soon as I booted up the game for the first time, I created my offline account and the dialog went away; G4WL never updated anything. When I start the game now, the sign-in box appears but I click the X to get rid of it and it auto-loads my profile which I simply named "Catwoman". And yes, you're right, G4WL sucks!
Edit: did a bit of testing and it appears that whenever the game stutters momentarily, it's hitting the hard drive so it's obviously loading in assets. Other than that, game runs smooth and knock on wood, the only crash I had was when I disabled the Steam overlay.