| • | Whip together juices, vinegar, and oil in a large bowl. Flip mushrooms with vinaigrette and marinate for 15 minutes.
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| • | Transfer mushrooms to another bowl with tongs, reserving the mixture.
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| • | If using a gas grill, preheat burners on high, covered, 10 minutes, then reduce heat.
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| • | Grill mushrooms in 3 batches on a oiled grill sheet set on grill rack, with grill covered.
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| • | Turn them frequently, until golden brown, about 5 minutes per batch.
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| • | Transfers to the mixture as grilled, then toss with sea salt. |
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