I could probably do an air mattress, but it would need to be on a frame.
You can put a sheet of plywood in the frame under the mattress for support. That's my current set-up, though I have a regular mattress, not an air mattress. I got rid of my box spring years ago. My antique bed is high enough off the floor that a box spring made me have to literally "climb" into bed.
I slept on an air mattress on top of box springs with a 4" memory foam topper. It was very comfy and cheap. right now I'm back to a futon but with the memory foam on top of it.
I love futons, but mine tend to get thin in the middle. Perhaps I just weigh too much, as my current futon was supposed to be more resistant to this, but it still happened.
I tend to sleep toward one side and then flip it often to avoid that. I usually have a Full size one.
I went out to dinner a while back and had the BEST guacamole ever. Mind you, I've never really liked guacamole, so I was surprised at how good this was. Since then, I've tried all the guacamole I could find, and nothing has been nearly so good. Or particularly good at all, really. I can't imagine what that chef put into his guac that made it so damn good.
I did the air mattress on top of a futon frame thing for a while. Comfier than you'd think.
You can put a sheet of plywood in the frame under the mattress for support. That's my current set-up, though I have a regular mattress, not an air mattress. I got rid of my box spring years ago. My antique bed is high enough off the floor that a box spring made me have to literally "climb" into bed.
That's what we do, and it works very well. (Our bed is so high that a box spring would require that we pole-vault into bed.)
And that would be a problem?