Buy an Arctic Fox, is always a good idea, We love ours. That being said, I went with a front mounted receiver and tire carrier. It does not have a noticeable effect on engine cooling and it takes 100lbs or so off the rear end.
If you have a flat, especially a rear flat, I'd lift the camper off the truck and change the tire that way. I have great tires and have had zero issues with flats in the last decade. That being said, they still happen. I carry a cheater bar and socket and a 10 ton hydraulic jack in lieu of the factory equipment. Most factory jacks are the absolute minimum and cheapest possible part for the job. If it is too far in the sticks for the tire shop guy to drive out I want something that works.