Oof, terrible time to move.
I'd mentioned to someone up-thread that you can always rent space in private trailers depending on what you're trying to ship. Plenty of guys out there have a trailer and just ping pong and zig zag across the country. So long as you're not worried too much about exact timing they'll sell you space by the cubic foot or weight. IIRC, when we shipped a few pieces of furniture, they were in a trailer with someone's car.
Got a bored retiree, unemployed loaf-about, gig-ger in your life? Pay them to drive it out for you and just pick up their bus ticket/airfare back.