[cabmandone]

Thanks to electronic logging, LTL has gone up substantially. Where I used to pay about $1/loaded mile for a flatbed I'm now up to about 1.60/loaded mile. Drivers want to minimize stops so they look for full loads rather than piecing together three or four pieces.
Not sure how many miles it is but for an enclosed hauling just your piece $3/mile seems about what the rate would be.
Just looked and if it's in the Denver area going to LA (1016 miles) $1500 isn't bad on a single piece for an enclosed trailer using an insured hauler.