A solder sucker or wick weren't enough. They were enough to remove a double USB port, but if I recall it had less anchors, more spacing between the pins or larger holes, and it was a 1 or 2 layer board.
I'm not ready yet to contaminate the stove.
If you mean a solder blob on all 17 joints, I'm not sure I have enough heat capacity, with a 65W iron, to keep a 2x2cm area melted. Did you succeed in doing something similar? If not all joints together, it doesn't appear there's enough flexibility to pull the connector out one side or corner at a time.
A cheap hot air station would indeed be a better solution. But it's not an immediate one, delivery will take a few weeks.
propane torch, medium back and forth motion.
Or nuke it from orbit.
Isn't that a bit extreme?
Anyway, another option was to saw the PCB around the PS/2 port, but soldering wires to it would be annoying. So my temporary solution was to tap an extra connector (1mm grid) on a keyboard. It doesn't help me test with other keyboards, but it'll do for now.