Cusser
+1y
As the engine and coolant cool down in a sealed system, any air in the system also cools down, and that forms a vacuum. That vacuum should suck back coolant from the reservoir.
You should not be running without a thermostat (except for like a day to diagnose a thermostat that is stuck closed). An operational thermostat will NOT inhibit your engine's capacity to cool. I'm in Arizona, and your heat is NOTHING compared to ours.
I'm not so convinced that you bled all the air out of your cooling system when you installed the new radiator. That could cause your overheating issue as well. Did you install a new 1-row or a 2-row radiator in yours? These trucks were marginal with 1-row in my opinion, like the very same truck with exception of a manual transmission came with 2-row. Or you might, as voiced above, have a head gasket issue.
I have 2-row radiator, all-metal, 1988 Cab Plus run AC 9 months a year, 195F thermostat, no overheating, 115F going uphill mountains at 75 mph.