I'm just catching up on this topic (and others). Any thoughts about using lightweight aluminum framing instead of wood for the door and/or window openings? My thought is to frame up and over to create both door openings within a contiguous U-shaped internal frame that could even attach to the frame. You could possible wrap this frame into the foam/canvas structure. These would be your hard points and would be similarly lightweight. The stress of the doors would go the frame rather than the sidewalls. The materials are available at the big boxes and even more at metal shops.
Just some thoughts for discussion.