Your best bet would be to contact a professional RV transport company. Just hiring a private driver may create insurance complications if there is any damage to your trailer along the way. Technically anyone who transports cargo (like an RV) for pay across state lines has to meet the same federal regulations as big rig truckers - having a commercial permit and insurance, following hours of service regulations and stopping at scales to review their paperwork and make sure it's all in order.
There are several companies who dispatch drivers to deliver new RVs from the factories to RV dealers all around the country. Perhaps an RV dealer in your area can recommend one they use?
When we were negotiating/tire kicking fifthwheels at a couple of different dealers in different parts of the country, they offered to put us in touch with local towing companies. One told me that many of their customers use uship.com.