I haven't golfed in college station in a few years so my info may be dated, but for just learning the game, I think you're fine at either Briarcrest or the campus course. Campus course will have better practice facilities, but Briarcrest is probably quite a bit cheaper. Just go with whatever is more available or convenient to you at the time.
Check golf now for discounted tee times at all of the courses in the area and just have fun with it! Don't be afraid of the smaller ones either- Pecan Lakes over in Navasota, Hearne, and Madisonville off the top of my head all have courses to play as well. You'll eventually find which one you prefer to play for whatever reason (course difficulty, amenities, cheaper beer, ect) and stick to it on your own.