I agree with Dakzuki. With such an old chassis, just replace the radiator assuming they are still available.
If a new or rebuilt radiator is not available, I would leave the original raditor mounted, but make sure the cooling fins are free of debris like grass hoppers & butterflies, grass, weeds and other air-flow-blocking material. A high pressure washer works great to force such debris through the fins, but if not careful, you will bend them.
Bent cooling fins will restrict air flow. You can buy a radiator comb, a great tool to bend fins back into their original position to get the air flow it was designed for. Here is one of many different comb designs.
So here is my check list in random order, common with many replies.
- make sure the fan clutch is opperating properly
- replace thermostat
- flush cooling system (utilize both drain plugs in the engine block, assuming it has them)
- use a Made-For-Vehicle-Cooling-System calcium & rust removing product to help remove such build-up
- clean raditor fins
- bend all fins to proper shape
- clean out the overlow bottle
- optional, recommend if it's not painful, remove and clean the heater core fins
If you pursue replacing the radiator, see if you can upgrade to a heavy duty version that provides extra cooling. An expert in chassis parts might be able to identify one for your application. I know earlier Ford chassis used for ambulances have an extra cooling capacity aftermarket radiator available. Maybe such is also available for your 1977 Dodge chassis.
About engine block coolant drain plugs, I don't think Chryslers have them but not 100% sure. Years ago my dad's 67 Plymouth Fury had a rusted out freeze plug. We removed the bad plug and out came a whole lot of crud that settled inside the belly of the engine block. If you don't have block drain plugs, I would be tempted to remove one freeze plug from each side and flush out whatever yuk is in there. It could be a source of crud that will get recirculated throughout the entire cooling system. Freeze plugs are easy to replace as long as you have relatively easy access to them.