This may not help a lot but from what folks tell me, Forward Air is the el cheapo bike shipper. Of course there's BenD from the HAMB who seems to make fairly regular runs to the west coast and is a very cool guy. But both of those cost money so I can understand why a relay would be preferable.
If you're not in a hurry, I might be able to take it from DFW to west Texas for you in a few weeks. That is if there's anyone on the board from west TX to hold it for the next leg.