Welcome.
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Any and all thoughts are welcome.
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Sounds like a nice tow vehicle. Does it have Mercedes parts, similar to my son's 2010 SRT8?
Have some sketches ready for when you hit five posts.
Light weight suggested a monocoque shell. I'll repost this in case you haven't seen it before.

Like an Airstream end cap laid on it's back. By varying the curve of the cuts you could make it boxier.
If you're into precise calculation there're superellipses:
A question in my mind is whether all the rear taper in plan with little or none in elevation would effectuate a rudder-like function.