I agree with Trainer Dave, but didn't bowl during the season - especially on or around gameday. Personal preference, of course. I didn't like that way my arm felt after I bowled (still don't, actually) and I didn't want to do anything whatsoever, ever, that might potentially cause me to miss a performance. That included bowling, playing around with footballs, playing golf (b/c of low back), etc.
But like Trainer Dave says, good mechanics leads to a decreased chance of injury.