Well, mine is sort of remote, but not automatic - using a plastic covered wire dog tie out, hooked to my fence in two different positions so I can do it from the yard. It is only about 12 feet - this would not work with 20 yards I think, but perhaps you could use the same principle, but with a couple of gears and pulleys - ending up with a crank near your back door. Kind of like a "mouse trap" sort of thing.
That way, your wife would not be going out in the snow, but she would be able to see that they came out.
See my diagram here:
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That way, your wife would not be going out in the snow, but she would be able to see that they came out.
See my diagram here: