My Ram 2500 with the 6.4L Hemi has a payload over 3000lbs and a tow rating of about 12.5k.
I'm a big fan of Rams, but I don't think there's any package to get a Ram 1500 even close to 2400 pounds of payload.
That F150 with that much payload might be tough to find. Sounds like there's a serious shortage of frames for the heavy payload models. Orders cancelled, etc.
Have you driven the Ford and Chevy 2500 trucks? My Ram 2500 is taller than my previous half tons, but doesn't really drive "bigger" than they did once you're on the road. It does feel more solid, though when towing. Can't imagine the Chevy or Ford 2500s would be much different in that respect.