I used Federal Towing (which you can find in the Yellow Pages) to haul my 78 Alfa Romeo from Los Angeles to Blaine last summer.
I found them on
uShip.com. I accepted the bid for $900 but due to over 3 weeks in delays due to staffing shortages, I ended up paying $600 which is super cheap. The owner, Matt, is pretty nice and accomodating. The best part is that his trucks will load your car onto either a trailer or a flatbed which is enclosed - normally a premium to be paid at a high cost but Matt's pretty good with his prices. Seeing that it's down-season, you might get a good rate. Give them a try!