Not sure which tranny you have. If its a TH700 do not tow in OD. I blew one up towing a 21 foot trailer that way.
In newer trucks the MTs are rare. I have only seen one other than mine. The new Duramax with the allison is bulletproof but not cheap.
The K10 is basically a half ton PU with a different body. The K20 is a 3/4 ton. You can look up the towing capacity on most hitch sites once you know which tranny and rear gears you have.
For a WAG I would say 8,000lbs will be your limit.
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