CDs?
Lol
It ain’t got a CD player, so that should help w payload….hahahaha
I'm going to say HP is fine. My 2008 F250 V10 has about the same HP. We took a similar weight trailer to Alaska and back (12,000miles total) and power was never an issue. Worst case, you might wind up the RPM a bit on hills but nothing to worry about if everything is in good condition.
Where I can see a potential issue is payload/Tounge weight. The trailer has a GVWR of about 7200lb. Properly loaded at 12-15% hitch weight, that's 850-1100lb...well above your 770lb rating. Also, what is they payload sticker on the door say? I couldn't find it quickly but I expect it's something on the order of 1200-1600lb. If you used up say 1000lb for hitch weight that doesn't leave a lot of payload for passengers, gear and bolt on accessories (running boards, roof racks, etc...)
You can scale back on the hitch weight but now you don't get the steady towing of a good hitch weight and if it gets squirrely, the shorter wheel base and lighter weight of the SUV won't be in your favor.
I've certainly seen worse on the road but personally, I would try to keep the GVWR of the trailer in the 5000-6000lb range.
