Actually no..that is one of the best spots to pick up a great girl..
Reasons: She's into fitness or some sort of personal health care, you can see her without all the makeup and crap so you can see the real her LOL, and finally, you're both sober and so whatever conversation you have is gonna be real--not just some drunk talk that you MIGHT not even remember
At my college, the student rec center was loaded with hot girls and guys would talk to them all the time during or after the workout..
not tacky at all bro