So, I had attempted to post a reply earlier but it must have been bumped.
Not sure if the stripper foamie has been done yet, but it certainly was discussed. No reason it can't work.
Don't get hung up on perfection with foam. It doesn't come in perfectly controlled thickness and no matter how you try to glue it there will be some variations. Fortunately it sands very easily (sometimes too easily!

). Shop vac works good for cleanup but does tend to clog filters quickly, so a cyclone separator is a good idea.
If you haven't already checked out GPW's FoamStream build, you should. Although his shape is Airstream like and he used thicker foam, he used very simple techniques to get compound curves and a semi-spherical nose. Worth a read.
Here's the point in his build where he started layering up the front curve.This website shows some flat patterns of complex shapes giving an idea of what I was talking about with void areas and darts in a flat pattern. Also easy to see how the flat pattern footprint will not likely be rectangular. Look at the Bucky Ball; it approaches a spherical shape like a soccer ball when formed.
I recently was messing with some sheet metal software trying to make a flat pattern for my fenders. I want the wheel opening flange to have a 3/4 inch radius onto the top, front and rear folds of flat top jeep style fenders, but I want the radius to roll along the profile, rather than butt into crisp miters. Couldn't get it to do this straight off; it wanted to clear out the whole area in the corners. Not too hard in metal to cut sections of the radius bend, hammer form them into semi-spheres, trim and weld into the corners, but it would be nice to get closer in the modeling. Maybe have to do it as a surface map using a course facet value and go from there. My point is, even with high tech software, it is easy to model the shape, but hard to translate compound curves into flat patterns.
If sanding glued foam joints you really want to use PL300 or GS, something that sets up soft like the foam board, otherwise it sands unevenly. With GG it tends to take the surrounding foam easy and leave the joint. You think you are sanding it all evenly, but then find that the joint compressed and sprang back while the surrounding area sanded off.