About five years ago I picked up a Sky Takedown with metal riser and nice limbs. When I arrived at the airport (Lacrosse, WI) they advised I would have to put the riser in checked baggage (the club issue) but could carry the limbs in carry-on. Which is what I did.
Interesting, some of the purses women carry and computer bags others carry would make as effective "clubs" as risers.
I've never had a problem with damage in checked bags but I rarely put anything in them that would break. I've taken handguns and ammunition (stored separately) with no problems. I have a bag delayed about once every 20 flights but it is brought to me in less than 24 hours. I would have little fear in packing a TD, limbs, and arrows in sturdy cases. I'd prefer to put them in the middle of a larger bag with clothing for padding though. However, I've never flown to a remote hunting location.
I fly 10-20 times per year for work. The one thing I've experienced about security is that very little is consistent. You can go through one day and be chewed on for not unpacking something and a week later they tell you that isn't necessary (or vice-versa). The only folks in our society these days with more arbitrary power are liberal judges rewriting our constitution.
Oh, and opt for the pat-down instead of the full electromagnet body cooker and they'll be honked off! They'll do it but they want to know your life history for interrupting the supervisor's coffee break.
By the way, I don't subscribe to the majority opinion that I should just suck it up and put up with all this. I've traveled in foreign airports where far more folks from terror-ridden countries abound and far less intrusion in my privacy is required.