All of the Texas public universities have your sat within the 25/75 range. Unfortunately most spots are reserved for guaranteed admission for the top 10 of HS grads. Even UT Austin has COA close to your budget - about $22K. I’d apply to UT-Austin and Dallas, Texas Tech, TAMU, etc. Others are a bit less. You’ll probably want to visit. If you have one of the UT (or other) branches, you could live and home and save some money.
What do you mean by medical field? Nursing? Bio?