That might just be them Dave (you really ARE ingenious! LoL…).
Take a look at this Hotrod article:
Hot Rod Mag. TA Specialties
From the article:
Trans Am Specialties’ owners Chuck Posey and Rob Jones Jr. realized that with the 301, it would be more efficient to simply replace the engine with a well-built vintage Pontiac 455. And so they did, adding 400 horsepower and 450 lb-ft of torque, or 500 hp and 610 lb-ft when equipped with nitrous.
To mix the gears, the buyer could select a Doug Nash 4+1 manual trans or a modified Turbo 400. The Nash was not an overdrive, as its Fifth gear was 1:1. Instead it had a low 3.27:1 First gear, a 2.13:1 Second, a 1.57:1 Third, and 1.23:1 Fourth. The result was dig in First with a 3.08:1 rear gear that was equal to a 2.20:1 First from a vintage close-ratio Muncie matched to a 4.56 rear gear. This enabled Trans Am Specialties to retain the stock 3.08:1 Safe-T-Track disc brake rear.
Inside were tuner car staples-Recaro seats, an Escort radar detector, and a 170 mph speedo adorned with the company name. Outside, it was sinister Starlight Black, defrocked of all the vestiges of the S/E. The stripes and Birds were replaced with Bandit decals and a buyer-chosen car number.
Pricing was $26,000 to $30,000 Reagan-era dollars, which includes the purchase price of an ’81 S/E T/A.
$30,000 back then was 911 Porsche/308 Ferrari expensive if I’m not mistaken. I think if you sent them your car to do the mods, that would still run you $15-$20K…