Bayside is one of the safest area in Queens (well, besides car racing or car theft), while white stone at night (especially at industrial zone) is definitely not. Better be safe than sorry, that's all my suggestion.
I believe Q65 runs on college point blvd in whitestone, which is a few blocks away from the gym.
Lazy I think you crossed Whitestone with College Pt. I live in Whitestone which is south of the highway and College P is north of it...
College Pt which is mostly a lower-middle class neighborhood. Where CP Badminton located is one of the few industrial blocks in the neighborhood. I wouldn't say it is the safest area but it is definitely not a bad neighborhood at all. It is quiet, that's about it...

The closest bus stop for the Q65 s on College Pt Blvd at 20th Avenue, which is about 3 blocks away from 119th Street and half a block away from the club. Definitely not too long of a walk. The ride is only about 10-15 minutes but the most painful is the wait the buses do not run on a very, very frequent schdule...