Hi April,
This is what I did:

U-Haul car dolly. Cheaper than any of their trailers, especially if you play around with the pick-up location somewhere in between where you load it and home seems to be cheaper rates.
U-Haul wants to know in their on-line reservation system what you're hauling but has no provision for a "trailer on a dolly", so I just picked that I was hauling a Willys CJ3A and it went through. Nobody at their store asked me what I was hauling, and I didn't volunteer it. I hauled mine from Maryland to South Carolina with no problem at all. Hardly knew it was there behind my 2003 Tacoma 4x4 and 4-banger motor that has a 3500 pound bumper hitch. It's a safe load to haul.
The M100 weighs less than 600 pounds so the dolly has plenty of capacity for it. Note my block of wood under the M100 tongue and some ratchet straps to secure the M100 tongue to the dolly tongue worked well for me. The dolly has wheel straps and chains for securing the axle. I think the dolly needs a 2-inch ball, but recommend you confirm that.
The dolly has ramps, but you'll need help loading. It's not a one-person job. Two can do it. It's a little awkward getting the M100 tongue up to the dolly tongue (one person stepping through the dolly frame while pulling the M100 tongue, while the other person pushes the M100 from the rear).
I can't take credit for the idea --- saw it on another jeep forum while I was debating which U-Haul Trailer to rent.
Good luck!
Ron D.
1951 M38 Unknown Serial Number
1951 M100 Dunbar Kapple 01169903 dod 5-51
“The only good sports car that America ever made was the Jeep."
--- Enzo Ferrari