How hard is BHP to get into?

My daughter will be applying to UT soon. We live in the Houston area and she is an auto-admit…very interested in the BHP. How likely is it to happen given her stats?

GPA: 4.0 UW/5.2 weighted
Class Rank: 11 out of 700+
ACT: 36
AP classes: more than 10, AP Scholar with Distinction
ECs: Multiple science fairs up to state level, DECA president, DECA global finalist, Interact, Student Council, NASA high school scholar.

If not BHP, how about HSS, Dean’s Scholar or Plan II though BHP is clearly her first choice.