Shouldn't be a problem using an LTL Common Carrier like FedEx Freight, Yellow Freight, AFB, etc.. Then there are brokers who will make the arrangements and find a shipper. Here is one and you can read what it is all about -
https://www.uship.com/ltl-freight/ Here is another -
https://www.americanfreightinc.com/
You should have no problems finding an LTL trucking company to ship the trans. The other alternative is to rent a truck from someplace like Enterprise and take a road trip/vacation and deliver it yourself. Swing by the National Air Force Museum in Dayton, Ohio, or the Corvette Museum in Bowling Green, KY...... or both.