Washington is not managing for trophy animals by any means. You can as a resident or non resident buy and OTC tag for almost every unit in the state for both deer or elk. That being said branched antler elk tags on the east side are managed as a draw. The fact that these are on a draw is geared at herd sustainability and bull to cow ratios rather than pure trophy hunts. We have way to many hunters in a limited area but the management is not at all like Utah's limited entry system.
I do completely agree with the idea of the model of game management that supports opportunity over trophy and that is a large part of why I highly disagree with the comments on this topic about staying in your own state and discouraging non resident hunting. To me personally I enjoy out of state hunting and view it as an adventure. I've crossed a few off the bucket list but I still want to hunt the Frank Church, Bob Marshall, Eagle Caps, the Ruby's etc at some point. Its way less about the size of the antlers than it is about the journey/adventure for me. No matter where I live or what my opportunities are in my own state there are still a lot of places I want to set foot on with a tag in my pocket.
I have zero problem with paying high non resident fees and being limited in the amount of tags available to me. Sure I wish it wasn't that way but the states are tasked with managing their game and they get to do it as they see fit. If Idaho wants to limit nonresidents in unit 27 and others to better manage their mule deer I can support that. What I can't support is subsidizing outfitters on public lands by restricting tags. This has nothing to do with herd management and quite frankly is a load of BS. Wyoming's Wilderness law is insane, and I would hate to see Idaho go that direction.