If you want to save $$, U of Arizona is your best bet - and has a wonderful Honors dorm/dining hall/gym combo. ASU is good, not as cheap, with a top notch Honors College.
But you can beat UC a lot of places - Utah, New Mexico, maybe Colorado School of Mines, Alabama, Ms State. Florida State, Florida, South Carolina (another top Honors), Purdue, etc.
You might also look to privates that have a large male/female disconnect - as you might do better for being a female…an RPI, WPI, Rose Hulman.
These are more “focused” - so don’t give up on the privates.
Good luck.