I'm sure the real pistonheads will respond but I'd check flow from the cav plate vents. Use the muffs. Water should not flow upon start up but after just a short time, you will see the water exit the vents, slowly at first then stronger as the stats fully open. This is SOP pretty much and a fair indicator of working stats. I always thought that the upper hose fitting was for flushing without running. Think boat at a saltwater mooring. Someone smarter will confirm/ deny.Overheating at idle is often (but not always) stat/impeller related. Good luck.
I will be working on her on Sunday following your advice starting with the stats and running with muffs. BB