You need a trailer with a minimum GVWR of 12,000 pounds. So that eliminates enclosed trailers that have a max GVWR of almost 10,000 pounds but a cargo weight capacity less than 7,000 pounds. Your Explorer is just too heavy to haul it plus the Hog in a race trailer.
Go for the max width allowed = 8.5' (102") overall with 83" between the wheelwells..
As to length, you need to back the Hog into a front corner to get it as cross-wise as possible in the 102' width of the front of the trailer without having to man-handle the Hog. The new 1200T Hog is about 90' long, so if that's about the length of your Hog it should be able to go in the front of the 102"=wide trailer sideways. Then park the SUV right up against the Hog. Then measure the distance front to rear. Probably a hair less than 20'.
For an open trailer, special-purpose car haulers probably won't work. So you need an "equipment trailer" with a 20' long floor and 102" overall width. 12k GVWR would be about right. 10k (including trailer weight) would be too tight for your load.
14k is available too, but requires special tires rated for 3,500 pounds each. The 12k GVWR uses ordinary 235/85R16E tires that are readily available at a reasonable price at any tire store. And the wonderful Michelin XPS Rib commercial all-position (including trailer position) tire comes in that size. Here's the specs for the Big Tex model 12ET equipment trailer:
And here's the link to all the various equipment trailers made by Big Tex trailers.
Heavy and light equipment haulers
If you go for an over-the-axle design, you can get the full 102" wide floor and 20' floor length. With that design of a trailer you'd have to take sharp corners at slower speed. Here's a link to the Big Tex 12OA:
But if it's my rig, I'm going to try have an enclosed car-hauler trailer, usually called a "race trailer". Several manufacturers make them, but a popular readily-available manufacturer in most markets is Pace American.
Shadow GT - Pace American
But notice that they do not have any enclosed race trailers with enough GVWR and payload capacity to handle your over-7,500 pounds net payload requirements. So that rules out a normal enclosed race trailer.
You may be able to convince a trailer manufacturer such as Pace American to build you a custom heavy-duty race trailer with two 6k axles for a GVWR of 12k. That would be my choice. But not cheap. I'd probably settle for the BigTex 12EP equipment trailer with the 20' floor length.