You can find rental properties that allow space for horses by looking on specialized horse property rental sites such as 1HorseProperty.com or the horse sections of general rental sites such as LoopNet.com. Other rental sites such as Craigslist.org and Trulia.com also commonly feature listings for properties that have horse spaces.
LoopNet.com contains a wide selection of listings for both commercial and residential properties, with a special section dedicated exclusively to rentals that accommodate horses. Each listing on the site contains pictures of the property, as well as information about the land, any available features or horse-specific structures and its geographic location. You can also see the number of acres included in the property along with contact information for the land owner. If no contact information is provided, you can use the site's messaging system to reach out to the seller directly.
Trulia.com doesn't feature any specialized filtering methods to display properties that allow space for horses, so you need to do some extra work to locate them. Conducting keyword searches for related terms is a good way to quickly locate any listings that mention horses up front. You may also need to contact the property owner and directly ask him if he allows horses on the property.