I voted 1804 dollar because I like the story, but only the Rama III coin, and not the restrikes. I'm picky about my multi-million dollar coins.
There's no actual evidence that the specific 1794 dollar the OP refers to was the first. Just hype and conjecture. I'm too pragmatic with my millions to fall for hype.
I would not buy a coin that I'd have to hide for the rest of my life and stick my heirs with. The 1933 is out.
I would have picked an 1894-S 10c, but it wasn't an option.