Just putting it out there, 1.) depending on where you are, and where the ag property is, you could be in violation of Federal School zone law. For instance, even if we could carry on our 'property' or "curtilage," which is quite different from your home, there is no exemption to get us out of the school zone rules. You would have to go see the case against the California guy who was open carrying and then picked up on school zone violations. Essentially, the judge ruled that as soon as there is an opening to your property it becomes 'public property.'
This has some significant complications, because under the ruling if you were in your garage, and then opened the door.... your garage became public property if you didn't have a fence enclosing it.
I would like to point out that most legal things consider the 'residence' to be the physical structure, not the property. I.e. you shoot someone that was just on your land, you are going to go jail. You shoot someone in your house, they have broken into your residence and you are probably getting off.
All that aside, I would say no (unless you were hunting, or if it was a long gun).