Looks like you've got a lot of good advice, and I don't quite have time to read all but I wanted to say this before I log off ...
You said your dog responds well to correction? I had a couple of German Shepherds which were extremely trainable. I could teach them not to do/go/touch/whatever anything I wanted by simply telling them.
What I would do was put the dog on a leash (usually) and then walk to the thing I wanted left alone. I would tap it, and tell them "NO! That's a NO!" (edited to add that this was accompanied by a quick little jerk on the leash, not to hurt them but make a point) I'd take a couple of steps away, then turn and repeat. A number of times, from many angles. By the time I'd get to the third or so repetition, the dog would be looking at me like "I KNOW I'm not supposed to touch it, I promise, I never will!" I'd still put them through it a little longer. And usually in several successive sessions, sometimes over a few days.
That always did the trick with these particular dogs. If it was something important, I would go on to "test" or "tempt" them in some way. If they weren't supposed to go into an area, I'd place a very delicious treat, or their favorite toy, or something there, and pretend not to realize it was there. I'd watch them, so that I could correct them if they decided to misbehave with a temptation. (I don't think that ever happened after the previous training.)
Anyway, I just wanted to say that in case it helps. What you said about your dog just reminded me of those two (I sure wish I still had them!!!) and I thought of how easy it would have been for me to teach them to leave chickens alone.
(One of my dogs had no fondness for cats, and had to live with one for a while. I let him know the cat had to be left alone, and he did. Problem was the cat knew it too, and delighted in teasing him and baiting him mercilessly for months. The dog never did go after the cat though. Good boy!)
Did I say I miss that dog? Sigh ... he died of old age about 10 years ago.
trish
LOL I should have kept reading to the 3rd page. ChickenOrTheEgg gave pretty much the exact same advice I did, and I see you've got Mona coming along anyway. Glad to hear it!