Thanks (to some of you) for taking time to give useful advice.
I actually did search for RV Transporters and found a few that I have approached for quotations.
One (Synergy RV Transport, Mission
) responded quickly and the rate quoted for a gas coach is about $1.38 per mile plus approximately $205 for tolls, for 'back haul' as suggested. The rate is slightly higher for diesel coaches. This company is based near Elkhart IN and requires drivers to have significant over-the-road experience, current DOT physical, a 'for-hire' license, and 10-years of clean driving record. These companies seem to offer drivers between $0.84 and $1.19 per mile.
I figured I could move it myself with a co-driver for about 85% of the quote including contingencies, but I would have to use air miles and a week of my time to do it.
So... we'll see how things go.