I personally would not want to rely on a 38 as a means of defense if I were packing in grizzly country, like the OP is planning to do.
It's good to know your limitations. And there are browns in WA. The thing is, bear attacks in the lower 48 are fairly rare unless you're in Yellowstone (and firearms aren't allowed in the park anyway). Bears will attack right after coming out of hibernation, or going into hibernation if they haven't found enough food. You can carry any arsenal you want into the woods, the reality is the best defense is jingle bells tied to your shoes so they can hear you coming and leave. Bears don't see humans as prey, they see them as annoyance.
Here's a list of attacks in North America. You'll see most take place in Canada or AK.
List of fatal bear attacks in North America - Wikipedia