At the risk of being redundant with prior responses, IMO it's a matter of shifting expectations, plus wearing the right clothing.

In general if I'm backpacking and it rains for any length of time, I don't expect to stay dry. Raingear is more about temperature control. But I know that with very light, layered, quick-drying clothing it just doesn't matter much if I stay dry or not (to include my shoes/feet).

As long as your expectation is that you should be able to stay completely dry, I think you'll either be unhappy in wet weather, or really limit what you try to do, or both.

Accept getting wet (okay, within reason), control temperature more than humidity, keep in mind that body heat can quickly dry proper hiking clothes, and as a result, be happy in the rain (singing in it is optional).