If everything is as bad as you say, take a ton of pics before your meeting with him and then show him that you have the proof of the declining conditions. If he refuses to do anything, I'd quietly find another barn, move my horse and then tell him to take me to court for the remainder of the contract. I doubt he'll follow through, but if he does, you have your photos.
Also, if you do end up moving, take photos of the new place showing how superior it is in every way to the current one, so that if you have to you can show that in court as well.