Spend $15 at a CAT scale to get all your weights. Then you''ll know how much you can upgrade. Most half tons exceed some other vehicle rating well below tow ratings. Less than one percent of half tons built can tow 9000 pounds loaded TT with 1200 pounds of TW and not exceed receiver rating, rear axle, and GVWR.
I suspect that 5100 pounds is inaccurate. I bet it's closer to 5800 pounds with 7200 pounds GVWR. Or you can check as equipped payload on the tire and loading sticker, subtract that 700 pound estimate and the rest can be trailer tongue weight.
A & A parents of DD 2005, DS1 2007, DS2 2009
2011 Suburban 2500 6.0L 3.73 pulling 2011 Heartland North Trail 28BRS
2017 Subaru Outback 3.6R
2x 2023 Chevrolet Bolt EUV (Gray and Black Twins)