Skip the Masters, get a PhD and do research. As long as you are doing interesting things and are affiliated with a well known veterinary college you would likely not have issues getting grants.
There are lots of very interesting research opportunities coming up with sport/performance horse physiology that I'm sure many vets would like to have an equine physiologist work on.
I wouldn't take that as an "easy" route however! Academia is full of politics and you will have to work like a dog to get any type of recognition, and even then everyone is lining up to discount your research and studies.
I don't think a MSc. Will get you very far, either go for just the BSc. Or if you are motivated towards research, a PhD.