A few weeks, maybe early September is doable. I can fill and flush too. I just have so many other time commitments. Really didn’t need this to happen tonight.Your engine is fine. As the radiator drained your water pump was still sucking up what was in the bottom and pushing it through the engine with positive pressure.
My biggest concern is #4, but then junkyard engines sit around for years with air in the coolant passages and they do fine when pressed back into service. Maybe you could get a radiator in there in the next couple weeks, fill with coolant, then fiddle with the fan clutch when you get more time?