Greyhound is a great option, I know many that have used them. You should be ok with a bumper, but sometimes you can get close to their maximum dimensions. They will not budge on these dimensions either...
With that in mind I started using
uShip - The Online Shipping Marketplace - Ship Freight, Furniture, Vehicles or Moves last year and have had great luck. Its a subsidiary / partner to ebay but it works in reverse. You list a shipping request and transporters bid for the best deal / option. You can also use a ship-it-now feature in which you state your target price, and also a ship-it-now price. If a transporter has a good enough rating they are eligible to use ship-it-now, this give you the peace of mind that you are getting someone trustworthy.
I have used a couple different shippers for items like fiberglass hoods and bumpers. Many of the shippers use enclosed vehicle transporters and then supplement the load by adding on these small items. In all cases they were able to give door to door residential pickup and delivery which is worth ALOT to me in itself. I also had my special requests met, like top-of-load, or enclosed transport, etc.
Its worth a look, I have had great luck.
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