There is very little timber on the NF that isn't in the wilderness.It's like being above timberline. There are some pockets of timber up picket creek and over into Meeteetse creek, but not much. You can get to this area when it snows.
The wilderness has more timber and the only way to drive to it is the jack creek trail head and it's accessable when it snow. They don't plow the roads anywhere up there, so be prepared.