Concerning Purdue, 50% turnover seems high to me. My D is a Chem E there and loves the school. I suspect that if you were successful in being accepted to RHIT and Georgia Tech, you will be successful at Purdue. They don’t “kick you out” most students who leave engineering decide that engineering is more work than they bargained for. Depending on what you come to school with AP/IB wise you’ll probably be taking Physics, Calculus, Chemistry and First Year Engineering your first semester. That’s a more rigorous course load than many students had in HS. RH or GT wouldn’t be any easier. Chem E does require a higher GPA than some to be accepted into their program, it was a 3.2 when D was a freshman in 2013.
You have good choices regardless of which school you choose. Our D is doing a 5 term co-op, volunteers as a tutor for the SWE and is doing research on catalysts for fuels. The key regardless of where you attend is stepping out and taking advantage of the resources available. She went to a career fair her first semester freshman year and began introducing herself to employers. She ended up interviewing with 5 companies the second semester and had 4 job offers for co-op positions. Her sophomore year she began contacting professors about research opportunities. Purdue provided the list. She ended up with around 3 choices. She had the advantage of coming to school with around 42 credit hours in AP credits. It won’t shorten her graduation time but allowed her to have time available to do research and also continue to play in the Purdue orchestras. Good luck in your decision.