Update on my issue. I thought the battery trick worked, but the AC only stayed on for 5 minutes. It was unplugged for 18 hours and as stated in the steps, the truck stalled on the first startup. What I have found is that if the truck cools for at least a 1/2 hour, the AC will work for about 5 minutes.
Took the truck to the dealer yesterday to have a diagnostics run. Dealer has been awesome, they were working in it almost all day and so far only have 1 hour of diagnostic time charged out. The mechanics called me directly a few times to walk through the history of the issue. They tried swapping the aftermarket relay with an OEM, but that didn't work. Instead of charging me the $90 for the relay, they swapped back in the aftermarket one, they could have easily charged me for it. After capturing the issue on the computer, all sensors are working properly. They checked the freon and said it was slightly high, but not enough to cause this issue. One thought was there was water in the system, but when the bled off the excess freon, it's was dry. They checked the pressure of the hi and low side, with a gauge, while running and it spikes up really high just before it shuts off. I have to confirm, but they had the low side over 150psi, not sure on the high side.
They have two thoughts at this time
One, it's possible when the original compressor stopped working, it may have had an internal failure and possibly sent metal debris into the system. I still have the original compressor I'm going to drop off to the dealer this morning to see if they can determine if that is possibly true
Two, the shop that replaced the original compressor uses d an aftermarket one and they said in rare cases the aftermarket compressor was the cause.
I'm meeting with them this morning, but it seemed like they are suggesting two options. One, install and OEM compressor. Two if debris is really suspected, they are saying it's likely that I would keep throwing parts at the system and the debris will continue to cause damage to the parts and need to be replaced. With that said, a total replacement of the system comes to the tune on $4700 (22 hours labor + parts).