The best breed of horse for mountain riding is a safe one! I wouldn’t get too caught up in finding one that’s papered, however your going to be better fit with a breed that fits into the stock horse category. Good disposition, confirmation, feet, and bone go along ways. I’m a fan of geldings that are in that 14h-15h height range
You could mess around and consider gaited horses, but in my opinion if you pull the trigger on one your whole string has to be gaited just to ease the fact you won’t have “normal horses” slowing you down.
The biggest thing i look for when i step onto a horse is how he respects myself as a rider. I like my horses soft in the face and to show a willingness to move off my legs when asked softly. Lot of riders think this might be too much to ask but i hate horses that fight me in these terms. Even though for mountain riding it can be overkill most of the time.
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