Not sure what a new carpet set goes for but I can't imagine it being cheap. If it's not too late, I recommend just taking out the wet one and letting it hang dry. It takes about a week in a nice dry climate. Don't put it in direct sun light as that will fade the carpet and turn the foam brown. I've never noticed any mildew smell either after letting it dry. It sounds like you have the time.
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Woody
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