Don,
Nod on this one, not "nada"! The body is definitely by Thingie and is one of the several iterations of the Lampray. Thingie was the little body company owned by Larry Shinoda, and amazingly this man of great prestige and stature in the full-size car design world made all the bodies himself on a large vacuum-forming machine at the GM "skunk works" lab.
I know because... he told me!
Here is the Lampray with its original sticker:
Note that this one is slightly different than the one in the opening post, because Larry had several interpretations of this car. The chassis is a home-built job using Champion body mounts, Cobra motor bracket, BuzCo "Wheelies" front wheels, Riggen rears, Cox guide, and what appears to be a stock Mabuchi FT26 mill.
Larry Shinoda and Yours Truly in 1993 on my company's booth at the SEMA show, where he was kind enough to tell me not only the whole story, but later mailed to me his two surviving "Thingie" cars: