The only thing or caution I can think of is what I've heard from folks with Sleep Number beds, basically, dual chambered air beds.
Flat landers need to be aware of what happens to "blown up" items (air filled) when traversing high altitudes, well higher than what we're used to, when these items are taken over mountains in the west. They tend to explode or spring leaks. Less air pressure outside of the item creates less external pressure, essentially raising the pressure in the item, in this case the air mattress. Those with Sleep Number beds recommend "deflating" them prior to the climb, and then re-inflating them when at lower altitudes to prevent failures.
I thought about them (a Sleep Number bed), but, decided I didn't need the aggravation of having to worry about an air mattress and whether it would be in one piece or not. Fortunately, the wife and I are on the small side (I'm ~135 and she's not quite 100 lbs.) and we did OK on the mattress in our 210WBS (it was the "upgraded" mattress) and the mattress in our Cougar is identical to the one we have in our sticks and bricks, so, I just left well enough alone.
That's the only thing I might be concerned about with your desire for an air mattress, but, I don't have any first hand experience with them under those circumstances (high altitudes), just heresay and anecdotal references to the issue. I know there are lots of people using them and whether or not they have real issues or not is not in my catalog of trivia, maybe somebody on here has "real world" experience and can chime in.