I just bought a 32 foot fifth wheel, about the smallest they make and have a 3/4 ton. Granted mine is a generation behind with 9,200 GVW whole yours is probably 9,900. Either way, my 9,800 dry, 14k GVW fifth wheel with pin weight of 2,200 pounds is really pushing it for this pickup. It actually tows very well and it's more stable then I expected, and the engine/tranny are surprisingly better then I expected. However, a 1 ton would have much more capacity than I have now, as I'm right at my limits. (And now to prepare the wifey for that expense)
That being said, my buddy pulls his 14k dry 18k GVW with a 2013 F350 SRW and he says it does great. I've seen it hooked up and I've convoyed with him in another vehicle following him and his barely squats and pulls it pretty well. You could do a newer generation SRW but I'd never hook a 3/4 up to that trailer.
2017 Forest River Stealth SA2816
2020 GMC Denali 3500 Duramax
Anderson ultimate fifth wheel hitch