If the temperature and RH of your home do not go too high or too low (e.g., you heat your home in the winter and use A/C in the summer) you should be OK without the compressor.
If the drain hole is plugged then you have some other leak that you might look for. Maybe the door seal. Or, if it is not sitting level or on a hard surface that could also be a source of problems.
You might want to take a look at this thread for some suggestions:
http://www.cigarasylum.com/vb/showthread.php?t=64764
Good Luck!