WE3ZS wrote:
You are only stating "hot" but without actually knowing the real temperatures the engine and trans are getting up to. Having the actual temperatures of both would be a big help in trying to diagnose the problem(s) or verifying that there really isn't a problem.
Get a ScanGauge, Ultra-Gauge or any one of the vast number of OBDII dongles and smartphone apps (like Torque) to monitor the engine and trans vitals.
Being a model year 2000 rig, do the trans cooling lines go into and out of the radiator then into a trans cooler or do they only go straight to the trans cooler? Some of the Super Duty pickups of that era didn't have the ATF flow routed through the radiator, something Ford corrected soon thereafter. Many owners of those trucks have updated them with later model radiators with the ATF cooling circuit for far better trans temp control while towing and hauling heavy loads.
The lower radiator hose appears to be fairly solid, but does not have a wire reinforcement. Am looking at ordering a ScanGauge to confirm the dashboard gauge, The trans cooling lines go direct into the trans cooler.