I love horses! Many young girls love horses and dream of owning one all their own one day. This idea is one I implemented in my own life in my younger days - volunteer at a local stable doing any number of jobs, I can tell you, there are many!
In my experience, a rural area with stables is never far from even the largest metropolitan city. This is one of those Orange Roads that may require more of a time commitment just in drive time, but once you get there and take in all the sights, sounds, and smells (I love the smell of a horse stable!), it will all be worth it.
Many stable owners and people who board their horses that I know are usually open to the idea of help with their animals, even willing to lease their animals or offer co-ownership. Typically, they are busy and their horses are not their full time jobs either. Striking up a friendship and volunteering some of your time to show off your skills will very likely land you in a relationship with a horse of your very own...well, almost!
Keep in mind, this is one of those Orange Roads that will require a higher degree of ongoing commitment. The cool thing is that once you start making a horse a part of your life, so many more doors will open for you. Just go ahead, start and you will see!