I've never flown with my bow, but I have with about 100 lbs of dive gear and I know my buddies have flown with their hockey gear. We all just call ahead, have them make an amendment to our boarding passes and when we check in, they'll inspect it right there, tag it and send it on it's merry way. That would seem to be the best way when I decide to travel because they're happy, you're there when they inspect it so you're happy, and best of all, there's usually no charge for "sporting equipment".
Hope this helps.