PizzaPenguin :
It's also in a new case. The service manual doesn't help because it doesn't tell where the Power SW cable goes on the front panel pins and I've tried dozens of orientations to no avail
More info upfront is always a good thing.
So it's not just a new PSU, but a new case as well.
So....drag out the old Dell case.
There is presumably a single multi pin plug from the front panel to that single pin block (#12 on page 11 of the above link)
Now drag out your multimeter. You have one of those, right?
Trace the pins from the motherboard block, to what actual wires go to the front panel power and reset buttons.
Connect accordingly.
And don't keep just trying random pins. You might short something out before you find the right combination.