There are some awesome suggestions in this thread. I can't tell you all how much I appreciate everyone's help. You guys have probably saved me from lighting this truck on fire a couple times over now. I clearly don't understand as much about EFI as I'd like.
I think you might be on to something. I'm going to scientifically study the warmup cycle and report my findings here but I'm pretty sure I can hear two distinct drops in idle from a cold start up to fully warm at 199°. The first drop in idle is at about 130° as the idle drops from 1100rpm to about 850rpm. It's the second drop when the idle drops again from ~850rpm to 650rpm (at about 170°) that I can begin to hear the popping and sputtering emerge. The miss may be there before the idle drops to 650rpm but that's when it is pretty easy to hear.
I did inspect the temperature sensor last night. I checked the resistance between the terminals on the sensor and got 1.85k ohms. My IR thermometer said the sensor/aluminum thermostat housing was just under 73°F. Using the chart on page FI-73 it would appear the coolant temp sensor is operating correctly:
View attachment 1640143
I'm going to re-check the coolant temp sensor resistance readings at dead-cold (overnight) and at operating temps to see if the values are also correct.
I also double checked continuity between the coolant sensor and the ECU. I got .02 ohms on E2 from the harness connector to ECU and .5 ohms from THW from the harness connector to the ECU. I'm not sure why the THW lead is different than the E2 lead as they are the same gauge and length wire or if this is even significant? The FSM doesn't tell me what to do if the voltage reading from the coolant temp sensor is out of range (1.59v @ 176°) but the resistance check of the sensor appears to check out.