Start looking online to see if anyone has made a cover for the slimlines yet.
Your dish is on a pole 12 ft up , see if they have made a cover that might look like a kite or a light or a butterfly ? something in the air already.
This could get interesting, if they do have such a thing you could buy it, put it up and if it doesn't look like a sat dish anymore you may be good to go.
Jimbo
PS : I see that YES they do make them for about 15 bucks, but no design on them .... Yet, I'll keep looking, you can always have someone paint it, maybe sky blue.
btw, they paint sat dishes all the time.
This was the very first one I came across, I'm sure they are out there with designs on them.
http://www.wedgiecovers.com/products.html