Alice, could you attach a mister to your drip system on the deck, and hang a mounted plant (or plants) up under the eaves where it will be in the shade?
I have an automatic misting system in my cage, and all the mounted orchids are grouped in the section that gets misted every day. For most orchids, they like to be thoroughly watered and then dry out. I have about a dozen mostly mounted on cork that get this wet/dry cycle every day.
Today, everything sure is getting thoroughly watered! We've had nearly 3in. of rain here this morning. It's mighty soggy out there.