I've seen several quite clever fold up ovens made with the blue insulating foam and duct tape for hinges. Takes a little thinking and planning (and some drawing, maybe), but basically you can make the top (with a wood strip to hold the bulbs) and bottom removable and if you make the ends each in two pieces and apply the tape right, you can push the ends in and the sides go flat against them, like folding up a cardboard box. Remove the bulbs and put the bottom and top pieces on the pile, strap it together and it weighs very little and can be stored on end in very little space. Like I said, I haven't done it, but I've seen it pictured and it appears to work quite well.
Seen pix of an oven made with pvc tubing, too. Just a frame with the light board across the top, set it on the floor, cover with a fitted cover of foil/bubble insulation, cook the bow, fold the insulation back up, knock down the frame and again, small storage space required.