First, good for you for looking at GVWR instead of brochure weight. Second, I think you'll hit the receiver rating before payload. Travel trailers, due to their boxy shape, need a relatively high tongue weight (compared to, say, a flat bed or even a boat). Typically, travel trailers will sway unless the tongue weight is at least 12% of the trailer weight. Unless Ford has changed the design since 2018, your receiver is only rated to 930lbs. And 930 is 12% of 7750. Personally, I'd be a little more conservative as some trailers need more than 12% to be stable and other trailers have layouts which result in relatively high tongue weights*.
*For instance, our trailer has the fresh water tank at the front of the box.