Ship it to the outfitter in a long box, and when the hunts over pay to have it shipped back. We have done this a couple times and it was a breeze!
What are the logistics of this? Especially the return part. Do you need to make arrangments to get to a FedEx store, while they're open, on the way from the back country to the airport?
People have been suggesting I do this with my fishing stuff for 25 years. It's never worked out. In the Bahamas and Mexico, the logistics with customs really screwed it up. With The Keys, the FedEx store hours there are hit or miss. And we would have to take all the gear down, get it to the FedEx place and shipped the day before we left, so no fishing the last day. Also, I never made it to the price, so I don't know how it compares to the extra baggage cost to fly it.