FYI in case the OP goes the trailer route.
I hauled wheel equipment with heavy GN trailers. These trailers are heavy and eat up available payload.
Example is a 14000 gvwr flatdeck with tandem 7k axles. The trailer itself may weigh in the 4500-5000 lb range depending on GN/bumper pull and other options. This leaves around 9k-9.5k for the trailers payload. Experienced trailer dealers and the trailer mfg can help you there.
Carrying a pickup that size on a trailer is a DOT target especially with out of state vehicle tags. Just be sure the trailer has tire capacity to cover axle loads and be sure and carry your trucks title to prove its yours and your not for hire.
