If you want an insured outfit to move your Jeep your best bet would probably be to do a google search for "auto transporter" and hire one of the big nationwide companies.
Having been an RV transporter myself and being familiar with the costs involved and also having seen a few dozen posts similar to yours over the years I can tell you it is unlikely you will find anyone who will do the job for you at less than it would cost you to make the trip yourself.
A big nationwide transport company will do it cheaper because they will coordinate your move with many other moves and haul a full transport trailer load which is profitable to them and advantageous to you. They should be insured. The only disadvantage is it might take a couple of weeks to get it delivered.
Only a dummy is going to drive and pull a trailer to haul just your Jeep unless he happens to be near your point of puchase and planning to travel to or beyond your desired delivery point.
Consider the basics: If I lived near the point where you are buying the Jeep and was interested in doing the haul for you I would have to pull a trailer roundtrip from AR to NJ and back to AR. I wouldn't do it for less than $1/mile loaded and unloaded and I would not have commercial cargo insurance to protect you. It wouldn't be real profitable but I could make a few bucks. Anyone who would agree to do it for less would, IMO, be cheating himself. Fuel, tolls, motels, meals, and wear on the truck cost money.
You might get lucky and find someone trustworthy who wanted to travel that route and would drive it for you but if you don't know them personally . . . could be a mistake.
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