Recumbent bikes for super short people?

Hey everyone, I am currently looking for a recumbent exercise bike. I don't want to spend over $250 or so. I have found several but they are for people that are 5'4" or taller. I am 5'2" on a good day. I have a longer torso than my legs. Does anyone know of one that is for shorter people. I found one but it was almost $500. I can go a little above my price but not a lot. I would consider a treadmill or something different but I am overweight plus have back problems from years ago so walking too long is incredibly painful. I have always done well with recumbent bikes at the gym but I now live 30 minutes away from a gym so that's not possible either. Help if you know please. Thanks