@Iggyfan56
you propose Large, Well-Known, Expensive University v. Small, Lesser-Known, Cheap University. well, how about a Large, Well-Known, Cheap University?
you qualify for an automatic full-tuition scholarship at Alabama, based on your stats. Ole Miss, too. that would leave only room, board, books, and transportation, and it seems like you have a plan that would cover those expenses. you might also earn additional scholarships that would drive the costs down further.
problem is you would have to take a gap year as the deadlines seem to have passed. but you could attend UA or MIss for two years, then transfer to UW-Madison. that would still save you a bunch of money and you still end up with the UW degree.
or you could save money on undergrad and target UW for grad school.
there are lots of posts from people here who visit Alabama even though they are not seriously considering it, and immediately move it to the top of their list. same with Ole Miss. they must have some campus mojo going on.
i am not sure but you might be able to grab a full-tuition scholarship to Alabama Huntsville NOW, and start there in the fall, but you would have to move fast. then you could transfer to UW after two years, without having to take a gap year. possibly the same deal may be available at Alabama-Birmingham.
you may want to explore a double major in physics and engineering, as that would give you more options.
if you take a gap year, you probably should not take community college classes as that will disqualify you from many big merit scholarships that are for freshmen only.
of course you could do community college for two years and transfer to UW for your BS degree. that would probably be the least expensive option that still gives you a UW degree in 4 years.
here are some links to the scholarships mentioned above. good luck.
http://scholarships.ua.edu/types/out-of-state.html
http://finaid.olemiss.edu/scholarships/#8
http://www.uah.edu/admissions/undergraduate/financial-aid/scholarships/merit-tuition-scholarships