It looks like OP is from New York based on prior posts. OP, there are lots of schools in NYS that would be safeties for you - pretty much any university in the SUNY and CUNY system would be good safeties. Stony Brook and Binghamton both have biomedical engineering programs.
If cost is truly not a constraint then there are tons of other places, including some great public state flagships in other states. What kinds of things are you looking for in a college? Big, small, rural, urban, cold or warm weather, big sports, small classes…?