Don't take my word for it (big disclaimer), but I believe you could do that under the law. The law basically says you can't shoot a gun or "hunt" in a safety zone. "Hunt" is defined in Title 41 as "shooting, shooting at, pursuing, taking, attempting to take, catching, or killing of any wild animal or animals". The only sticky term I see there is "pursue", which is defined by Webster online as "to follow in order to overtake, capture, kill, or defeat". Yes, you might be "overtaking" birds in the ditch, but I think the intent of the term as used in the law would mean capture or kill. It's legal to walk, unarmed in the ditch. It's legal for a dog to be in the ditch. If a bird flies out, that can't be illegal. My opinion, but as my dad is fond of saying, "Tell it to the judge."
Now re-reading the question, maybe you're asking about part of an actual Walk-In Area near a farmhouse. I personally wouldn't think twice about walking that bit of cover in hopes of moving birds to a more convenient location. But knock on the door & let them know you plan to be near the house, but that you won't shoot within the safety zone. Could be they own the land & might say it's OK to shoot as long as you're safe about it. Might even have other locations they own that you could hunt.