I've been out scouting the past few weekends.  I've seen elk and lots of sign in both Bumping and Nile- that's where I'll be for archery.  It just depends on how far from the road you want to get.  Nile has a lot more road traffic than Bumping, but the terrain seems to be a bit more wide open open.  Just find a drainage and get a bit away from the road and you should find them.  Muzzy is going to be a fun time to be in the woods.  My son has Yakima North Muzzy, so we'll be out that way quite a bit this summer.  I don't know anything about Bethel, but I hear there are a lot of elk in there as well.