You should have a about a 4k payload. I hauled my TC in my signature with my 11 duramax which is the year they made the big upgrade in payload. My TC with wet and all gear is right around that 4k and it handled fine even when pulling my 3500 pound boat. I presently haul the same TC with my 2017 3500 gasser and it is just great. The only add is my quick connect Torklift stable loads. These work very well for corner swaying. All that being said sticking somewhere around the
4k mark is what I would do. I am also within my tire specs. JMHO