I just came across these posts. The Olympic Peninsula of Washington State includes a temperate rain forest, with hiking trails through the mossy trees. There's lots of info on the Olympic National Forest website: Rainforest
The Lake Quinault Lodge is a lovely place to stay or just to stop for lunch.
Sandy Nachlinger, author of BLUEBONNETS FOR ELLY; co-author with Sandra Allen of I.O.U. SEX