Running too much means the pump taking too long to pressure up (>20sec) or running too often (losing pressure in the system). If the pump is weak it can cause either one so replacing the pump may or may not help. If it doesn't the next easiest fix is the accumulator though most people rebuild...
Check coolant level and whether there's any visible obstruction to air flow through the rad. Also check condition of the fan shroud. After running 30 mins, leave engine running, pop the hood and check that the fan is pulling in a good airflow through the rad. The fan works on a thermostat/oil...
Need a few more clues. Did the engine overheat? Are any vac hoses off or split? Has the MAF sensor been cleaned? Any recent work done? Is vac canister plugged? Is the gas tank sucking air? etc.
I bought a roller style undercarriage washer but modified it to use garden hose pressure and a quick couple. This entailed upsizing to 1/2" pipe and modifying some 1/4" NPT hose barbs for nozzles...
Worry more about TBF (total brake failure) while careening down a mountainside than transmission failure. Any shop can source a rebuild kit and get it on the road in a week - just enjoy the hotel and relax.