Would a modified replica production body be legal for special construction? A Porsche 356 with fender skirts, windshield removed, single seater windscreen, (maybe a full canopy) etc., would be damn clean, and building a kit on a VW pan, you could retain the VW title, bypassing all the special construction road licensing hassles.
Great thinking, and I had considered those 356 kits. Downside is they are rear-engined. Not a problem with a light aircooled engine; but I'd be concerned abut the weight of a cast iron diesel. I suspect the inate "snap oversteer" issues would be exasperated by a heavier engine. There are mid-enined Porsche 550 kits, but they are way spendier than I can handle.
When I imagine a fiberglass streamliner body on a Formula Vee chassis, I conjure up images of the old Cooper bonneville streamliners from the 50's: