Has anyone done this? How much did it cost and how long did it take?

Welcome. Do please visit the Member Introduction section and tell us about yourself.

Is the case somehow damaged or faulty? In either event you would need to contact CW directly.

^^^^ Welcome to the forum.

To answer your questions; I've not heard of this being done and have no idea of cost.

CW is generally willing to recase a watch, as they don't currently offer a refurbishment service, subject to the availability of parts.

The Bel Canto being a current model, I'd expect a spare case to be available. Inventory has been exhausted on some older models though.

Guy

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