After a couple failed attempts at various solutions we decided we needed a shelf under the TV that would hold the component boxes and then we'd run the cords up the wall and over the top of the fireplace. So I searched for corner component shelves that were a gazillion dollars and then decided I'd build one myself instead. And by "myself" I mean, I drew a picture with measurements on it and gave it to the husband and he did the sawing.
The shelf is a triangle with a curved front side to match the curve of the hearth in a pie shape.
I measured the size of the cable box and then designed the shape based on that. The husband cut two straight pieces of a 2 x 2 based on my measurements. (At this point, our garage was still full of boxes so his workbench was on the floor of the garage!)
Then, he mounted them to the wall using masonry screws. This picture gives you a good idea of the ugly cord situation.
Once he had the frame up, he went back out to the garage and cut our pie shaped shelf using a jigsaw. I don't have a pic of just the shelf piece, we did this at midnight after the kids were in bed so I was tired and slacking.
While he was cutting the shelf, I was inside painting the frame white to blend in with the fireplace.
Once it was all up I went to Lowe's and got a corner shaped cord channel from the electrical outlet cover aisle and I ran the cords from the outlet through the channel. The corner channel is barely noticeable and it just sticks to the wall with some double side tape.
The cords go up one side of the fireplace, over the top and down the back. We've got a surge protector back there that everything plugs into. I zip tied all the cords together up high to keep them as hidden as possible.
A big thanks goes out to my husband and his handy woodwork on this one. He's the best!