Yes, leaving the sides, &/or doors open on your shade house would work, just so they have a roof over their heads to protect them from rain they don't need.... That way, you could control the amount of water they get.
One more thing, as Lorna mentioned, the night-temps... If its going to get below 50-55°F (10-13°C) at night, then you will want them to be dry... If they're wet & cold, their roots will rot.
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