Sleeping on air mattress equipped sofa bed ??????

Is there enough room in your rig to leave the sofa folded up as a sofa and then get a good air mattress (Like the air dream thing) and lay it on the floor each night ? Then each morning deflate it and put it in a storage compartment somewhere.

Part of the uncomfortable mattress in your sofa might have to do with the fact that it's part of the sofa.