I would say that you could drill into the brick, forming somewhat of a tube, but from the amount of brick you describe, this doesn't seem possible.
Are the bricks right on the outside and the TV will be mounted to them? If so, you could do it, but it would take work. You could remove some of the mortar in between the bricks; lay the cable inside, then seal over them with more mortar. However, in the need to remove a cable, it would be a bit of a pain, but that way the wires would be hidden. If you decide to do that, my only recommendation would be to put some extra cables in, as you don't want to have to change them when you upgrade components. If you have a decent amount of cables, you will need to remove a lot of mortar, and it will be a fair amount of work, so you might think twice before doing this.
My other recommendation would be to get a simple white cable tube (a ton of places carry them). Place it right on the brick, and have the wires going thought it. Then paint it to the best of you ability to match the bricks. It probably won't look amazing, but it will look better than a bunch of hanging cables.
Those are the two things I can think of for now.
-West