I wouldn't waste you time around Cooke canyon, or anywhere around the Colockum for at least another week or so if the warm weather holds. I went a few weekends ago ant there were still LOTS of snow on the roads. Some places the drifts were 4-5 feet deep still. If you have a ride with lot of ground clearance and a wince you might be OK. Early in the morning was easy as all the snow was still frozen solid do you could drive over it with out much problems. At about 10:30 or so it ALL TURNS TO MUSH !!!! On the big piles once you break through the crust your done....start digging.
Even after all the BS trying to get up there LongTat and I neither heard nor saw any birds, and I know there in there. Just a tougher winter as we have seen in most spots.
I'll agree with rougheye on Cle Elum. It is loaded with birds, and they are hunted pretty hard. So if you can get back off the beaten path and hike a bit you could be in for quite a trip.
Hope this helps, Good luck