You’re not going to find too many horse farms in the Phoenix area. Most animal based farms in the area are for cattle.
And as for a combination of rural and suburban, the divide is a lot firmer in Arizona since farmland tends to get developed in large chunks as suburban communities. The farms don’t have any relationship with the suburbs except as a place to drive through until the land gets developed.
And it is not going to be close to downtown Phoenix. Unlike Lexington, there was never a growth boundary chosen for the Phoenix area. Development has sprawled pretty far, only really limited by mountain parks and Indian reservations.