Getting the roof to lift with the tire mounted on top is one thing. Getting the tire ON or OFF the roof is another....
I'd go with some type of front or rear mount.
Actually, it can be done.
I had a last minute issue with mounting my spare 31" BFG below my Tundra/FWC. We used a ladder leaned against the FWC and parked next to a small retaining wall and my girlfriend & I rolled the spare up the ladder onto the roof.
That sort of makes my point. Did you bring the ladder with you on the trip? What if you gashed a side wall someplace where you couldn't get easily lean the ladder against the camper?
Getting the tire off is easy (toss it down), its getting the damaged one back up for along trip that is harder (a shorter trip you can just stick it inside the camper and roll for civilization to get it fixed/replaced).
Aside from the question of whether or not you can actually lift the roof, or remove the tire, i'll point out one additional issue.
I've owned a fourwheel camper and the weight of a loaded thule box (narrow version) actually caused the roof truss frame to crack away from the frame. In other words, the aluminum weld inside the roof broke. Not an inexpensive repair.
Do you use the rear hitch? If not make a swing down tire carrier with some decking on the back to double as a step into the camper portion.
If you do use the hitch then you may have to fab up swing down brackets on either side of the hitch.
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