Funny you say that ...... I also have a hot tub on my deck with a pergola above it(wooden structure) I have my cable wire out there and a wall mount tv shelf screwed into the post holding the thing up. I take my 20" tv out of the laundry room put it on the shelf plug in the cable and wala I am sitting FAT in the hot tub watching games!
My brother has a 40" outdoor flat screen outside by his pool. It is mounted on the wall. The thing cost $5000.00 dollars. It stays up all year we were watching it the other day in a snow storm.....