My understanding is how it is in all levels of football -- the Home team chooses what jerseys to wear, and unless there's something like a "usc-ucra" agreement to both wearing their Home/Color uniforms (like they've been doing recently), the Visitor team must wear the opposite-type jersey of whatever the Home team wears:
Home chooses White jerseys, Visitor must wear Color jerseys
Home chooses Color jerseys, Visitor must wear White jerseys
It's always the Home team's choice of what to wear, and the Visitors have to live with that and wear the opposite type of jersey.
We old Dallas Cowboys fans have dealt with this for decades with the "cursed" blue jerseys that philly/ny/stl/washington in the old NFC East that they would make us wear as the visiting team in both regular-season and playoff games. Sometimes opponents will still do it hoping that the Cowboys will have bad-luck wearing them and lose, but since Dallas has been choosing to randomly (and on Thanksgiving recently) wear blue jerseys at home and win in them, it doesn't happen as much anymore.
So if Texas chose White as the Home team, Silo-Tech must now wear some kind of Color jersey as the Visitor team.
I haven't seen a rulebook to know if there's actually an explicit "rule" that the Home team has the jersey choice, but this is how it's been done for decades regardless.