In most of the log homes that I have seen the kitchen wall has (well concealed) plywood installed so the cabinets have something to mount to that won't settle over time.
You could run behind that if it's there.
If you're going to use conduit/Wiremold (or even cable) on the log surface you might want to try to get it routed in the groove so it blends in with the chinking when it's painted.
