If collegiate bowling doesn't have a problem with it, then my next point is probably moot too. If you play any kind of varsity-level (not club-level) sport like football or basketball, you need to make sure you won't violate any NCAA regulations concerning playing sports for money.
If collegiate bowling is all you do and it's established that college bowlers can bowl in adult money leagues, you're ok, but don't risk other athletic eligibility and scholarships. Talk to your other coaches or some NCAA rule nazi about it.
SH