The top of the hill and areas to the north and west are privately owned according to WDFW Go Hunt mapping. I'm pretty sure I checked in the past and it was owned by Weyco. Upon checking, the Peterman Ridge Wildlife area turned out to surround the hilltop to the east and south, and farther west. DNR does not have any ownership up there.
Weyco may leave the area open to hunters, as it is not very much land and it abuts the wildlife area on three sides.

I think I was looking at the top when I was considering hunting the area, so my information is/was a bit sketchy.
Whatever the case, if it was 30 minutes closer, I'd see you up there. Good luck!