This has been a huge learning experience for me. I never knew power supply was so important before.
So, I tried my Antec 500w PSU with Dual 12v rails with 22A per rail.
Didn't work.
At first I thought it was because the card requires 26A and its only 22A per rail. But I knew from previous research that 26A is the entire system, and dual rails should separate the mobo from everything else, and one 12V rail with 22A should be able to run everything without the mobo. The issue is that this particular card I have does not have its own power line (6-pin connector). It gets its power from the board.
Back to the store I go, to get a PSU that supports more than 26a per rail.