Thanks, guys. Because of the rock bed here in my area, I was able to get the rod down about 6' (with 2' sticking up out of the ground). From what I understand, that's acceptable, as long as it's at least 3' into the ground.
I decided to go ahead and get a dual grounding block, one for the sat and one for the antenna lead, and rather than ground the SW21 Dish switch, I'll use the dual block and run a #10 copper wire around to the side of the house and connect up to the electric meter (the phone junction box is already jumpered to one of the screws, I'll use the other) I'm also going to run my grounds from the sat dish mounts themselves around to the electric meter as well. Is it acceptable to connect these ground wires via a twist cap at some point so I'm only running one long wire, or do the ground wires have to be uninterrupted? (I'm just trying to avoid running three separate lengths of copper around the house to the meter)
I'm trying to get as close to regs as possible, but you're right, this whole grounding situation has been giving me a major headache. As long as I've got reasonable protection from lightning strikes, I'll be happy. The satellite dishes are mounted to the side of my chimney, halfway down, so a lightning strike there, while not impossible, is highly unlikely.
Thanks for all the input and suggestions.