I'm sure you could find someone willing to help you out if you pay cash. Just do something like half up front, half on delivery so you don't get taken. $1,000 is probably going to be the norm since it's such a long distance (if you use a company, anyway). Friend of mine used these guys
https://www.a1autotransport.com to deliver a car from Hoboken to Portland, Oregon for $750. Might try them.