I've never been there, but looking at On X, if I had that tag I would hit the state land north of Charley Creek Road and the Asotin Creek Wildlife Area. There is also the Wooten Wildlife area, outside that, public access is grim. I don't know if any of those spots are special areas that are off limits, so check the regs.
There are 6 areas on the WDFW Private Lands Hunting Access page, about half reservation. Those are worth looking at as well.
Between those two methods, a guy should be able to scratch up a doe. There are so few areas, I wouldn't scout until I had a rifle in my hands, in a 3-day weekend you could probably hit all the public areas. I would try the best looking reservation site, hit it at daylight and then hit nearby public areas in the pm.