Try Tapp...they have always come through for me and delivered happy, healthy horses! Sometimes the drivers are not the most personable but they were great with my hot head mare. Working with Beth was awesome, and she was happy to help ease my worrywart mind even on a Sunday! Highly recommend!
Recommend Nationwide Horse Transportation or Tony Aprile Horse Transportation. Both have worked well for me more than once and have allowed me to have the cell phone number of the driver, which IMO the new owner should always have access to. I personally want to know where my horses are when they are not in my custody, and certainly when they will arrive.