http://admissions.ucmerced.edu/wue
Merced with WUE is still $40k - well above the $16k the OP can afford per year.
CSU Monterey is a pretty compelling value at $18k with WUE - a part time job will certainly fill that gap.
https://csumb.edu/admissions/western-undergraduate-exchange
Take a look at Oregon Tech and Western Washington and UNR. They are in a similar price range and worth a look.