If it is the starter relay (actually the run relay) there will be no voltage on the compressor leads.
Most any relay capable of operating a motor at 20 amps 120 volts will work. it may not fit on the board (you may need to "Remote" it with jumper leads.
But any relay designed to run a 2 HP motor should work.
Might be able to use a smaller one (I tend to use components on the "Heavy duty" side of life to avoid overload)
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times