My go to in rain, (Ontario rain, granted, not PNW) is to get a tarp up over the fire pit and then clean out out the fire pit area do it's as dry as possible. Then, if it's really coming down, it's either a birthday candle or tea light, lit with a bic, and then used to ignite a PJ cotton ball and birch bark. Ferro rod and cotton ball are usually my first choice but if everything's soaked, a candle and bic is instantaneous gratification and helps maintain the flame. Esbit tabs are another good solution when kindling is harder to find.

If the fire pit won't stay dry, I put a piece of aluminum foil under the fire so the water puddles underneath it.

An upside down fire also helps.