What model TV? If it has digital audio in, use that over coax (SPDIF, orange RCA connector on DTV box). I've successfully run it much farther than 30M on RG6. If it doesn't, you're stuck with either some sort of modulator or digital encoder-/decoder set.
Most speakers on flat screens these days are pretty weak, and often on the back of the TV. I wouldn't worry about using mono audio at the TV myself, the quality difference out of typical tv speakers will be barely noticeable, and it's by far the cheapest option.
Another option would be modulating the component+audio output of the directv box. This would require some slightly costly hardware though, and component video is old tech, and being phased out. You're better off investing the money in a set of HDMI over coax extenders (assuming a HDMI enabled tv), which will give you full digital HD plus audio over one or more (more is usually much cheaper) coax's. Hopefully you have good RG6 wire (quad shielded even better) in place, not RG59.
If it's not a HDMI TV, just use the RF (threaded coax F connector) output over a single coax and call it a day. Unless somehow you have a rare CRT HD TV with component and no HDMI or DVI, or an early commercial flat panel or something.