Seems like you have made up your mind, but I will through this out there anyway.
1) You could donate the meat. Yea I know it sucks, but for the money it takes to fly, you could buy fresh beef. Some states you will have to arrange the donatee before you go, and some have a list with contacts for the area your hunting. If your lucky they will freeze tenderloin for your carry on.
2)Take your cape to a local taxi and have it fleshed/turned/wet tanned and shipped to your house. This should take off a 1/3 of your taxidermy bill, so close to even money there, except shipping.
3) Ship your clothes/gear home, and use the elk rack as a luggage. Also could ship a box of antlers if deer or antelope. The last time we did this, our gear arrived home a day after we did.
A couple hours in town, and 2-300 dollars is nothing compared to 24hr drive home. Notice I said drive home..lol Time fly's on the way, but that drive home is a killer!
This only works if your hunting out of a motel diy or outfitter. You will need to much gear other wise.