I just got accepted at Chamberlain for their on site BSN (not the RN-BSN) program in St. Louis, MO. They do have Prereqs, but you can take them there. Its an accelerated program, so if you have no previous college, its a 3year program. I would suggest that you take the prereqs at a community college. It costs too much money to do general ed there.
For the regular BSN they require A&P I and II, Psych, Sociology, English, College Algebra, Chemistry, Microbiology, History, Macro Economics, Stats, History, etc.
I hope this helps. I'm just starting so my info is limited to the "getting in" portion.
This link might work, it gives you an idea of what classes are required for the BSN.