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Personally...I would never sell my GTO without a reserve, unless I REALLY needed $ or if I didn't have a lot into it (not the case).

I would probably start trying to sell with a For Sale sign in the window and drive it everywhere reasonable (and to as many car shows/cruise-ins I could stand). Then hit up the local Pontiac clubs. Then something like Facebook Marketplace or craigslist, just to see the crackpots that respond (and pray for a real buyer).

Assuming none of those avenues worked, I'd probably opt for BAT.