Is this girl just a bad idea waiting to happen? Or do you think it could work out?

not quite sure on this one. Girls can do two things after a relationship 1 they turn on guys thinking we are all the same and treat the new guy like crap #2 they spend time alone till they have recovered. Ps #2 girls are very rare. I think it will end badly for you if you go after her and catch feelings just take things slow and watch her actions