The best way to get this answer is to actually request price quotes from companies.
If your shopping cross country it will vary greatly with who you ship with. We are shipping mini donkeys from TN to PA, 12hr drive, and that is running us $650.
Across the US, you're looking at around 1,600-2,500 I would assume. Less or more could be the case depending on what transfer company you use and how small your time frame is :)
Hope this helped!