Okay, so it’s UT general, or Texas Tech Honors…
Definitely go for an overnight at each.
Pluses of UT: excellent academic environment, awesome city; minus: without Honors Program, you will be in huge classes and the whole first year is rather intimidating/alienating.
Pluses of Texas Tech: you’re more likely to be top 10% so you’d have better odds at a high GPA, Honors program = lots of perks; minuses: the city just isn’t comparable to Austin, there’s a bit less variety of majors.