Birthday dinner suggestions near MD Anderson

I have an appointment at MD Anderson in June and the day before is my birthday. We always like to do nice dinners for birthdays. It’s just two of us. We’re staying at a hotel near the hospital, and driving from Austin, so we’ll have a car, but don’t want to have to drive a crazy distance.

We like all the foods! I’d like some suggestions. Not looking for crazy expensive but okay dropping a few hundred. Thank you!