I didn't see any pics of your trailer. I'm guessing a single axle flat deck with a rail about a foot up??? You've got a nice size there, really handy for getting in and getting wood, not so heavy that towing becomes a chore.
I upgraded to a two axle with a 10k GTW rating as my primary go-to trailer; it is 7x16 tilt deck. I've hauled in excess of 12k payload on it and it did really well, nothing on the highway, just across town at low speeds; with trailer weight that makes for 14k. With stake sides on it a couple of cords of wood fits really well. I have to put at least a half cord in the truck to get traction on my steep gravel driveway.
My next trailer for wood hauling will be a dump. I'm thinking 7x14 on two axles with a 14k GTW. I'm a huge fan of electric brakes, keep them adjusted and replaced as needed and they allow me to safely tow really heavy loads on the mountains around here. My 10k flat tilt-deck will stop fully loaded in a really short distance, those brakes really grab. They also grab in reverse which has saved my bacon on more than one steep gravel road when fully loaded and the truck lost traction. That'll take a chuck of cushion out of your seat for sure.
I've got even heavier trailers, but they start to get hard to hook up and towing them becomes alot more work. If the haul is short I'd often rather make two easier trips than put a 24k gooseneck on the job. Then there is the access question, often you just can't get the big trailers onto the job.