Both of these choices are pretty much based on classes taken/a diploma program. Most of the times they are not actual degrees at colleges.
I do know that the programs/colleges are not highly popular and there aren't going to be multiple in every state so If this is really important to you, chances are you will have to move out of state in order to get your education.
If you want to know exacts, I'd talk to a Equine masseuse or Chiropractor and ask them where they went to school and what they needed to do. Google it and call them. most people would be happy to answer a few questions.