Texas Tech Honors College or University of Texas at Austin?

[mikemac]

which school do you think will give me the “wow” factor in an applicant?

Neither. Contrary to what many HS kids think, just because they are impressed by college brands doesn’t mean that adcoms at grad schools share their opinion. As Amherst writes in its premed advice

What does elevate a student’s chances is to go to an institution (1) that energizes and challenges that particular student academically, while providing good teaching and academic support so the student can meet the challenge satisfactorily; and (2) that provides opportunities for accomplishment and leadership in extracurricular areas. Of course the student must take advantage of these educational and extracurricular opportunities - in the end it’s the student’s accomplishments that count, not the name of the institution.
[Amherst College Guide for Premedical Students](Amherst College Guide for Premedical Students)

The good news, for many, is that what they do in college is what matters. The bad news, for some, is that they need to do the lifting and can’t expect the “name” to set them ahead of anyone else.