We live in an area that is kind of rural. Rural in that we have fairly large farms 10-15 minutes from us but we are also fairly close to the city.

4H is around here as well but from random other activities we've taken our son to we found a nature society close to us owns a small farm and allows kids to come in and help with the chickens and couple cows they have (weekend, summer programs). Not exactly the same but maybe works for your family.