Is the patio covered? I've had an old plasma TV on my covered patio for about 7 years now, just sitting on a table and it hasn't died yet. A box might be Overkill unless it's sitting out the open not under a patio cover
Do you have a drawing? I've built several greenhouses, coops, patios, and cat houses...not to mention a billion forts in the woods as a kid! We can come up with a solution.