I live in north Texas and wanted to leave the state for undergrad but finances stopped that.
I think your mom will push you to attend UTD or A&M. UT-Austin’s CAP program gives you one year elsewhere and then three in Austin. UTD is fine and is a safety as long as your test scores are in their range for a top quarter student.
In the PacNW, I recommend looking at University of Puget Sound. They might offer a good bit of financial aid. A friend’s daughter from Houston attends there. They have a neuroscience minor and good honors program. https://www.pugetsound.edu/academics/coolidge-otis-chapman-honors-program
The key is that you like the school and your mom is willing to pitch in funds and sign off on any loans. It sounds like you would pay off any loans you would have.
Other private options in Texas are Trinity, Southwestern and Austin College. They are going to have strong student interactions and have center left ideology.