Findlay Unv has one of the top Equestrian programs around when it comes to training. They offer both western and english. They also have a vet part to it too so you can go on if you wish.
However I will say this from a person who uses trainers quite a bit for all my show horses. I do not care where you went to school. You can have all the degrees out the rear and I will not send you a horse. I have found over the years the best trainers are the ones who train under some of the top trainers in their discipline. I look for proven trainers. Most of the best never set foot in a school to learn their trade. So if what you want to do is train horses. Think hard about going to school for it. I can not speak to some of the other schools but Findlay is about $30K/Year.
However a good education in NEVER wasted. I just would not go for equestrian studies unless you want to go in to vet school or some other area like that. If you want to be a trainer get a good business education apprentice under a top trainer in your sport and go from there.