From Skyline to Queets is a good route. I've done it twice and would do it again. Leave the trail before you go down the switchbacks and go past the tarn east of 4228' peak. Traverse down NE into Saghalie to 4400'and then back up NW to the pass east of peak 5770'. Good camping at 4400'. I then went down drainage to about 3000' and followed the Queets up to the basin. You can also go over the notch by peak 4529'. I haven't done that, but friends have. We went from Lake Beauty to Bear Pass in a day and the out by way of Dodger Pt to the car the next day. Also went from Queets Basin to Jeffers Glacier and out the Queets River. Also a very good trip.
Good Luck