Have you considered private colleges at all (such as the ones juillet mentions)?
Selective private schools generally offer much better need-based aid (and sometimes lower net costs) than OOS public universities do. Use their online net price calculators to compare costs.
I agree with lostaccount’s point above that a “significantly better” CS program wouldn’t necessarily be the only reason to choose an alternative. Furthermore, you may be over-estimating the quality differences among computer science programs (or the significance of those differences for post-graduate outcomes).
Consider these outcomes for recently graduated CS and math majors at Macalester College:
http://www.macalester.edu/academics/mscs/aftermac/
Does Macalester College have a big, highly ranked CS department? No.
However, it does offer good need-based aid, an out-of-state “college experience” you might like, a high concentration of smart & motivated students, and a higher level of student-faculty engagement than you’re likely to get at any big state university. CS course selection will be much smaller than at most big state universities … but how much does that matter if the courses it does offer are greater in number than you could possibly take, or possibly better taught than what you’d get in a huge, over-enrolled department at another school?
Your stats apparently are good enough for a school like Macalester. A lack of ECs might hold you back … but just from reading your post I get the impression you could put present a well-written, interesting set of essays that could (with strong LORs) be enough to compensate. Selective, private schools want smart, interesting, engaged students. A long list of ECs isn’t necessarily the only (or best) evidence.
A few other schools you might want to check out:
Reed College, Grinnell, Oberlin, Brandeis, URochester