I was thinking about this when I read your project. I recall Erik saying that the Oaks can operate in access point mode. Perhaps there's a way to leverage this by having an Oak AP (maybe two Oaks, to create an Oak router) to cut the effective total distance between links?
EDIT:
On second thought, that would require you to keep at least one of the Oaks in the Oak router powered up. I'm not sure what the power budget is for this, but it would probably eat right through it like that... Pringles cans?