The challenge, I would think, comes in the fact that the audio for DTV signals isn't a separate signal from the video - it's embedded in the bitstream that's carrying the entire DTV signal, subchannels and all. So a radio that can pick up DTV audio would really be simply a DTV receiver without a display, as opposed to an analog TV-sound radio, which is just an FM radio that can pick up a narrower-deviation FM signal on a different frequency from broadcast FM radio. That, in turn, brings along new complications - you need a front end that can handle the 6 MHz bandwidth of a full TV channel, for one thing.
It's certainly not an impossible thing to do, but it's unlikely to show up in a $10 bargain-bin radio, either.
On the other hand, if such radios DID ever hit the market, they'd open up some really interesting possibilities. I'm already aware of (OK, I work at) a TV/radio combo that uses spare bandwidth on its DTV signal to feed audio to two remote radio transmitter sites. And when you consider that a DTV signal has more than 19 mb of bandwidth, while FM HD radio makes do with just 96 kb (121 kb in expanded hybrid mode), there's a LOT of room for audio signals there, potentially with much better quality than HD radio. Mobile reception would be a challenge, though - the 8VSB transmission standard used for DTV signals doesn't work very well in the mobile environment.
It's certainly not an impossible thing to do, but it's unlikely to show up in a $10 bargain-bin radio, either.
On the other hand, if such radios DID ever hit the market, they'd open up some really interesting possibilities. I'm already aware of (OK, I work at) a TV/radio combo that uses spare bandwidth on its DTV signal to feed audio to two remote radio transmitter sites. And when you consider that a DTV signal has more than 19 mb of bandwidth, while FM HD radio makes do with just 96 kb (121 kb in expanded hybrid mode), there's a LOT of room for audio signals there, potentially with much better quality than HD radio. Mobile reception would be a challenge, though - the 8VSB transmission standard used for DTV signals doesn't work very well in the mobile environment.