As so many I just bought a new TV. There is one small thing I can not think of a solution for. It is the second TV, so the input for Dish is the long coax snaked through the walls. I would also like to use an antenna. Both of them are obviously coax inputs and naturally the TV has only one coax connection. Is there a way to input both coax into the TV and watch either programming? I tried fooling around with a splitter (backwards), but can't seem to make that work.