Why not just drive? It's not that far from Jackson to Houston. Probably about as fast when you consider getting to the airport early for security. Plus, you can take your toothpaste, mouthwash, and pocket knife with you in your car. And you wouldn't need a rental car when you got there.
Tickets for that game aren't trivial, especially if you want a good seat. Best I remember, they're pretty comparable to a good bowl game.