Weather is a critical factor in (leisure) bike touring.
Although not having the amount of experience of many members of this community (yet, 150 days in the past 3 years), we were lucky -- I can remember only one unpleasant ride in the rain.
1. We (two adults + 2 kids) strictly adhere to the motel-when-it-rains policy. To prevent rebellion -- we have some family members actually wishing for a rainy day
2. Our destinations are "weathersparked". If the likelihood of rainy day exceeds 30% on a given month, sorry but we won't ride there (then).
3. As others have noted, rain in warm weather isn't bad. Make sure that your panniers are waterproof and enjoy a different experience. I do not fight with rain under these circumstances. Sandals, shorts, synthetic clothing. We carry space blankets to fight hypothermia (one of our daughters ended up close to being unable to reach our destination because we were caught in unexpected come rain)
4. Makes for fun memories, a few years down the road. And is good for the skin.
5. Machka has a great list of rain avoidance strategies.