This is becoming more and more common, but what you are suggesting to do is a bad idea if that's all you plan to do.
1. CONDUIT CONDUIT CONDUIT! I repeat this everytime someone is smart enough to ask before they build. Conduit is cheap. Compared to the first time you pay someone to rip down drywall and repair it to run one wire, you will learn this quickly. Run 1.25" conduit from your rack location to the TV location. Do NOT run wires in the conduit at this time!
2. Run 2 HDMI cables (
www.monoprice.com) and if you can find them, try to get HDMI 1.4 cables which may be available in the length you need for not a lot of cash.
3. Run Component, composite, and 3-4 pieces of CAT-5.
Let's be serious! These cables are super cheap and running them later sucks. Especially if you have an issue with any HD source, or you need that one cable briefly to setup a source. CAT-5 because everything runs over a network now, and ever more and more cable converters are coming to market to help future proof things.
Make sure there is enough of a mantel on the fireplace to keep heat directed away from the display, and it would not be a bad idea to use one of the newer slimmer displays to get it closer to the wall and away from the heat/smoke.