Advice on needed tow capacity for new pickup truck

IMO, 2500 series needed.

My rig, rolling down the road all loaded, I tow 6000-6500# with 900-950# on the Tongue with a 2016 1500 Max tow GM . I am at my limit with a 2000# payload. Its about payload not a tow rating.
BTW, my posted dry wts are 4560# / 580# .