For engineering - and a hispanic Female - you have tons of options. But let me ask you this - if you could spend $22K a year at U of Arizona and do the Honors College, why spend $65K. Tucson is a very comfortable landing place for a Hispanic student. And practically in CA 
At your budget, private schools - and I’d look beyond
Florida: Embry Riddle, Florida Tech, and Miami. But UF is under budget full pay and UCF and possibly FSU will bring money - of the major schools.
CA - USC could be (has regular merit and for NMF but commended I don’t believe qualifies), LMU, Pacific, Santa Clara, USD. The UCs are on the cusp and Cal Poly SLO and SDSU would work on a public basis.
As for NE privates - U-Ha, Qunnipiac, Trinity in CT. I’d throw in UCONN - fine public.
RI - none -Providence but it’s a 3/2 I believe. Just URI.
MA - BU if merit, NEU if merit, Olin and WPI. I’d throw in UMASS - fine public.
NH - just UNH.
VT - just UVM
ME - just U Maine that will match your in-state.
Staying close - let’s say NY - Clarkson, Cooper Union, Hofstra (their NPC estimates), RPI, Rochester, Syracuse, Union
PA Lafayette if merit and Drexel.
Your budget is $65K but why spend it if you don’t have to - so your Alabama, UAH for mid size, and Arizona are your best choices and are close to your preferred geography. All have Honors. ASU and U of SC are the top Honors and are great choices. UF is public and solid and well under budget full pay.
One other thing to look at - and maybe outside your area - schools that are male dominated - they need females.
Good luck