Make sure you check, and read carefully, the municipal firearms discharge bylaws for where you intend to bow hunt. Also check, and read carefully, that municipalities definition of a firearm. Your playing with fire in the areas you are considering, because I know for a fact it would be illegal discharge of a firearm in those areas.
As for keeping it on the down low, I say screw 'em all!! If your doing things legal to the letter of the law, let them as you questions and follow you around taking pics and vids. Ive educated a few LEO's the same way. Even had a swat team show up on a totally legal goose hunt once!!
Just read the discharge, and definitions carefully, and carry a copy with you to educate any authorities (or uneducated people).
Have fun, good luck!
S.