Frog fan here from Fort Worth, I can give you my two cents on any weekend plans you're cooking up. We are looking forward to having the Gophers in town next month!
The Stockyards and nearby Joe T. Garcia's are the most touristy things going on in FW. Joe T's is nowhere close to the best Tex-Mex in town, but the atmosphere is pretty fun and it's definitely a great place for a first-time visitor. Real, real strong margaritas. Would be a perfect pre-tailgate brunch spot, but you'll want to get there early as there will be a line.
If you're into art, there are a couple of museums here that are of a quality level you'd expect to find in a bigger city. My favorite is the Modern Art Museum. They are a point of pride for Fort Worth, so I'm obligated to point them out to you. My guess is that you're coming to party, though, so the nearby West 7th area is the easiest spot to find a number of fun spots. Parking sucks, though.
As for pre/post-game eats & drinks near campus, me recommendations are as follows:
-Fred's Texas TCU on Bluebonnet Circle about a mile away. Good burgers, real cold beer and fun atmosphere.
-Fuzzy's- which offers good tacos and cheap beer. Will be extremely crowded right before and after the game.
-Dutch's/The Pub. As close to the stadium as you can get, just a straight shot through campus. Dutch's is one of my favorite burgers in Fort Worth, and The Pub is a good, old-fashioned college bar.
-The Aardvark- A TCU institution, and a decent place to drink for cheap and see some live music close by. They apparently serve food there now, but I've never tried it so I can't recommend it. If you're dreaming of hooking up with a TCU coed, this might be the place. If you're not enamored by a crowd of 19-21 year old fraternity and sorority kids, you might not like it.
-The Cellar is dark, dingy and where I celebrate big Frog wins. This place is a genuine dive bar, not a trendy faux-dive spot for posers. It's underground, and the ceiling is pretty low- so if you're above about 6'4" or worried about the fact that the place is a blatant fire hazard it may not be your spot. You'll meet some characters here, as everyone is having a good time- though the shuffle board and air-hockey can get pretty competitive. I also should also note here that, because it's still legal to smoke indoors in Fort Worth (most places voluntarily ban it, though), this place will make you smell like cigarettes for weeks.
I see some talk about going to a Friday night high school game, which I love. Allen, as mentioned, is currently THE program in the state. Their QB, A&M-bound Kyler Murray, is the real deal. They play at McKinney Boyd that weekend, which is a pretty good hike from FW or even Dallas. My recommendation, if you're looking for the true Texas "Friday Night Lights" experience, is the Aledo game. The Bearcats are a defending state champs in the second-highest classification, and are expected to contend again. Their stadium is only 15-20 minutes from central FW, and they're playing a team from Mexico that weekend. The other option I might recommend to the casual fan is the Paschal vs. Dallas Woodrow Wilson game at Farrington Field. It may not be as big of a crowd or as entertaining a game, but Farrington is directly adjacent to the West 7th area so you can ditch the game and grab drinks whenever you feel like it.
Shoot me any other questions and I'll try to steer you in the right direction.