Chuck W3YNI tipped me off to this... it's a plastic waterproof box for outdoor use, complete with "feed throughs"
http://www.mcmelectronics.com/product/58-14220
Cost is $19.95 plus shipping right now.
I ordered one Monday afternoon, and the box was sitting on my porch when I got home today. It may be just about the right size for my remote auto-tuner & a small battery... I plan on trying just that with it sometime in the next week or so.
Even if you don't use it in the shack, I can see where it can be very useful.
(I have no personal interest in the company or the product, but it sounds like a good deal, so if it will work for you, why miss out?)
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