I own a convertible right now, and I'm selling it for my FR-S. It's occasionally nice here and there, but if you enjoy getting out with your hair looking like a cow licked it, then a convertible is for you. Only reason I own a convertible is because it was the only one available in the car I wanted.
Not to mention, convertible means more weight, and also means one more thing to go wrong. It's a viable idea since the Miata has a convertible, and I'm sure there will be people wanting to buy it, but I still say stick with the coupe.