Wow... this thread came back from the grave.
I long ago wired a 25A DC->AC SSR to handle this and it works fine. (A traditional relay, not a board with a relay and all kinds of logic for high/low/etc.) I don't remember off the top of my head where I'm getting the 5VDC from the duet board (so PS_ON can ground it.) It's from one of the three jumpers near "INT 5V EN" and I found it gave a reliable 5VDC when the PSU was off. (I didn't want to tie up the 5V pin on the expansion header, and there have been reports of some SSR's not working well with only 3.3VDC.)
In retrospect, being the printer doesn't rapidly turn on/off, I probably should have used a simple mechanical relay instead of a solid state, but the SSR was easier for me to find and the cost wasn't really a big factor.
Take care
Gary