@LonghornLX what year are we talking about?
the resistor shouldn't get hot, maybe a little warm. For comparison's sake, the stock fuel pump resistor in these trucks gets hot enough to scorch your skin. If it does get too hot to touch then something is wrong, also I would measure voltage, turn the daytime running lights on, no headlights, and unplug the resistor. Put one lead on one pin of the resistor plug and the other lead on ground.
The daytime running lights should go out when you unplug the resistor.
Voltage with the resistor in line should be around ???
I'll look when the sun comes up. I can't find it atm. GUessing 9.xx something vdc
another thing to check is voltage at the morimoto LED plug connection of the light that fails. Both ends of the harness that plug into the morimoto LED, or any LED should be your regular 12+ vdc or whatever your battery reads.
The resistor is at the end of the circuit, voltage remains constant until that resistor, mostly.
You don't want to test these connectors with a regular 9005 halogen headlight bulb, but you can test with another led if you have them laying around. Use a volt meter or another LED only. Polarity doesn't matter on the morimoto, other LEDS, it matters sometimes.
you could swap morimoto LED from one side to the other and see if the failure follows.