I did something similar on a convertible I used to own. It was an 89 Celica and behind the rear seat there was only a piece of vinyl material to close off the area. Otherwise it was just a wide open space between the rear seat and the trunk. I cut a piece of masonite to the exact size to fit and painted it black making it a shelf under the rear window. That blocked most of the air space thus separating the trunk, and it helped retain heat in the passenger cabin in winter.
During summer the top was usually down so it wasn't needed then. I just had to remember to remove it in spring before attempting to put the top down.
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