A number of years ago, about the time I first saw foamular in the Home Depot, I had the inspiration to build myself a low, somewhat aerodynamic travel trailer, using foam and 1/8 inch lauan to skin it, and using some hardwood plywood and small dimension standard lumber to build a super-light small travel trailer ( standing room and FSC) to tow with a minivan. But since then my needs and wants have changed ( very much permanently) to something that's durable and intended for backcountry use... Death Valley, Mohave desert, off-road, dirt road, and of course, normal TT camping.
But I'm still interested in saving weight, as much as possible, because the less the "box" weighs, the more I can put inside and still remain on target, and I now want to have at minimum 50 and more likely 70-80 gallons of water, adequate holding tanks, and good battery power, for extended "no services or facilities" adventures, be it the southwest, rockies, or perhaps even north slope of Alaska, Northwest Territories, and wherever else the spirit might lead. And I want to stay under 2800 lbs, wet. It means doing a lot of non traditional things, like different source for heat and cooling, perhaps a tankless water heater, and other "not normal rv outfitting" types of things. And I want to cover most of the roof with solar panels.
My technique for construction, was to use 1/8 and some 1/4 inch plywood skin, bonded to the foam, to build some framing into the the foam, somewhat like they make the house kits out of sheathing bonded to styrofoam and framed at the perimeters, assembled in sections. Even using double strips of 3/8 or 1/2 inch hardwood plywood bonded ( with something like Gorilla Glue) into at least three layers instead of dimensional lumber, it's just more resilient and less likely to break due to stress and bending, etc.
Since I am no artist, I can't draw this for you, but in the end, it's assembled on the trailer, and once glued and screwed, you should be able to even flip the darn thing and it refuse to fly apart, unless a car drives through it or something.
Since I see others experimenting, I figured it's always smarter to learn from what others have done... I have spent some time looking through the forum and sadly, this forum has SO much information, that I ended up with overload and endless sidetracking by non-relevant but fascinating stuff. I'm hoping to reach a few of you who have or want to go down this path, and see if we can't share info and ideas...
I don't even know where to start, really. So, I'll let you all weigh in on whatever you think.