You are probably OK but right at the limit. As noted, it might tow that weight, but your limiting factor is the payload capacity. I have a RAM with a 10,300 tow rating, but ONLY a 1450 payload capacity. You put a hitch on at 500 plus lbs then a 150 lb WDH , then the two 100 lb dogs in the crewcab and the 280 between the significant other and I and fill up a 32 gallon gas tank at 8 lbs a gallon of gas and well, you can do the math. I'm there.
What will your math look like? And so, I can theoretically tow 10,300 but one I always want a cushion and two my capacity is the limiting factor. I want camping to be fun and not be worried as the trailer makes me a nervous wreck while driving it across country. How many slide outs, couches and islands in the middle of the living space can a person want camping. So, I'm looking at 27 foot max including tongue and 500 lb hitch weights and end up in the 5,000 dry weight range.