I used a broker company arrange delivery of my '51 3600 back in '13. Distance was just under 700 miles and cost was $500.00. Way it worked was you post your load on the brokers site and haulers submit bids to deliver. I got lucky and a small one man operation with a nice 20' car hauler and diesel pickup up used my truck as his backhaul to his home in Arkansas (about 25 miles from my house, got lucky) . Zero problems. He sent pictures of the loaded truck before he left and called a couple times to keep me in the loop on the way to my place.
I don't remember the name of the broker but it was similar to
this.You know if I were in your shoes and since you may well have to be onsite anyway to help load your truck I'd just rent/borrow a car hauler style trailer and move it myself. That said you'd need at least a 3/4 ton truck and a good trailer (5k axles with brakes). Or a bud that was up to a quick weekend trip.
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Good Luck, and WELCOME back!
RonR