Yep, we use a traditional 'cold smoke' method; smoking 'wet' makes the end product very harsh, but once the surface is set and the flesh has firmed - drying at coolish, open-air temps- then they go in the smoke. Smoke 'attaches' to the fat in the fish, so oily fish works better than the lean ones (the shorter river fish).
My experience only involves coastal conditions where ocean breezes and cooler temps are the norm. 50s and 60s daytime with good breeze, while nighttime often involves damp very cool air. When the weather gets 'rainy' (which is rarely big drops for short periods, and more often just wet air at around 150% humidity
), we put the fish in the smokehouse and just let the fire 'run' open (not killing it to smoke). The heat isn't high enough to cook the fish, but enough to help dry them, and there's enough smoke to flavor them. We never do that if they're still dripping wet though. (I think there would be spoilage problems if you tried to 'cold-smoke/dry' them too early.) I lost quite a bit of product to mold before I learned (from Yukon fishers) to use heat to force things when we get a stretch of wet days.