I am wondering the same, and i have the same problem. I guess we'll both stay tuned!
My thoughts would be to unhook the belt and the cooler lines, blow out the cooler, and give a couple of quick spins to the pump, hopefully getting some fluid to belch out. I would hope that by hand, there is no side load by the belt, and there would be a fluid film to protect it while one is trying to run it dry.
Then i would measure all the drained fluid and put the same amount back.
If it doesn't someone please chime in and tell the best way.