You've opened yourself to a huge variety of answers but still a great question. There are towing guides online that I would trust more than everyone's personal opinions and "feelings", like I tow my 15,000 lb trailer with my F150 and I can't even tell it's back there.
All that said, first, I'd stick to the door tag. If your trucks door tag states you have a payload capacity of 2380, that's what I go by.
Second, always use the GVWR to estimate your pin weight (short of a true weighing). Using a rough guide of 20% of trailer weight that trailer will have 3,000 lbs on the pin. My trailer runs nearly 23% of GVW so it can definitely vary.
My trailer weighs (Cat Scales) right at 13,500 lbs. My pin is just short of 3,200. I'm close with my 2016 Denali 3500 SRW with a door tag payload capacity of 3569 .
I would go to a 1 ton if I were you. Good luck with your decision.