The 2005 Duramax had some issues with overheating due to air restrictions in the intake design. It's possible that under your towing load that air restriction came into play and the engine was running too hot.
'14 Ram 2500|Crew Cab Long Bed|4X4|Cummins
Curt Q20 with Ram 5th Wheel Prep
2000 Crownline 205BR
1997 Ranger Comanche 461VS
'01 Polaris Virage TX PWC
'94 Polaris SLT750 PWC
3 Wonderful Sons (21, 15, & 13)
1 forgiving wife!!!