Honestly, I'd just go with a nice wide (5" ) border of the leaves.
Putting the other borders, especially since they're so thin, doesn't really add anything to a log cabin setting, already made up of a ton of small strips. You want to show those off!
That other beige(?) you have for the small border isn't adding anything to the color combo.
And I'm really liking having a light border (which isn't the norm) setting off the center log cabins.
It all screams OUTDOORS to me.
And then binding in the green.