I happily tow my 30' travel trailer (33.5' ball to rear bumper) with my '21 Silverado 1500 RST, 6.2L, equipped with Chevy's "max tow package" with a Husky Centerline WDH with 1200# bars. My TT's GVWR is 7605#.
However, I wouldn't want to go any bigger with the TT without a 2500 or 3500 truck. The issue is not tow rating of the truck (a mostly advertising hype number anyway), but how large a sail I am towing behind the truck. Very windy conditions can get exciting with my rig, but I've never felt it nearing anything approaching out of control. But, then, I rarely exceed 60-63 mph, either (and slower in windy conditions or on secondary roads).
I've practiced using the manual trailer brake controls without the truck brakes as well, in case trailer sway does seem to be going sideways (so to speak).
JMO. (I expect most on this forum will be more conservative than I am in matching truck to trailer, tho.)
BTW, as to weight ratings, the one to really pay attention to on the truck is max payload rating from the sticker on the door pillar (not online or brochure numbers). Payload will include anything loading the truck other than the driver and a tank of gas.