I had a 34 foot trailer and 1/2 Chevy to start with the came in at around 8000 lbs loaded. I think the trucks max tow was 9700lbs and thought all good. I did not look into or understand payload and all the other weights and was soon in the same predicament you are. After a crash course in weights I found myself to be at if not over a bit on payload. On good days it towed good but those days were not the norm and found the white knuckle experience was not worth it.
Just buying a new truck and explaing to the wife i really didnt know what i was doing was a bummer. After deciding selling the trailer was going to be the cheapest way out i stumbled across the ProPride and Hensley hitches. I thought if this does not work oh well i can send it back and take the hit on the trailer. It got me by for about 5 years and made a remarkable diffrence. When upgrading to a 2500 i saw the light everyone here talks about and they are correct. It towed so much nicer. With all this being said you need to know where you are with weights so you are not way overloaded somewhere.
Good Luck and a lot of us have been in your shoes.
remarkable might be an over statement. It was much better but still not as good as the jump to the 2500 using the ProPride.