Based on the information you supplied I would recommend a 20’ long 10,000 Lbs rated trailer, like a 5” channel car hauler by PJ trailers, trailer weight is 2,500. Brakes on both axles.
I believe in a little bit of safety factor. Remember the tire load rating will be at the minimum required for trailer load capacity. If you buy 7,000 lbs rating which weighs 1,800 lbs you will be running at max capacity, not good for tires on a hot day!
The other consideration is how often, how far and at what speed you plan to tow, if the answer is not often, not far and slow then 7,000 lbs trailer may be a good option, it will certainly be less cost.
Remember a set of chains and chain binders, you can get away with 2 x 20’ chains and 2 chain binders for a L2501 and attachment.