The next thing I do is try to freeze the tom ASAP. It really doesn't matter if you have the tom in plastic bag when you put it in the freezer. I've frozen many toms whole if it's super hot and I don't have time to cape them. I just returned from S Dakota where I shot several toms. I didn't have a freezer so had a giant cooler. I put 2 garbage bags around each bag of ice to prevent water from getting on the capes once it started melting. I kept several bags of ice in the bottom with a garbage bag between the ice and birds (laid on top). I would keep a watchful eye on the cooler and ice. If any water escapes the garbage bags with ice make sure to drain the cooler. The last thing you want is water on the cape/feathers. I place a sleeping bag over my cooler to keep ice longer. If bags of ice unfreeze you may want to replace them with fresh ice. I was gone 4 days and this worked great for me.
I caped all my turkeys so the cape and meat cools down quickly. Caping a tom is very difficult but the best way to store a tom for extended periods of time when away from a freezer. If you haven't done any caping it may be worth either going to a local taxidermist or find a place where you can freeze the whole turkey until you head home. I sell lots of capes to taxidermists across the country and these are just a few pointers. If you have any specific questions feel free to send me a personal message. Good luck on your trip!