Such boxes exist but are probably not worth your while. A simple hdmi to dvi cable works best for your video, but you need to run the audio seperately for most units. Actually the dvi output will be carrying the 2 channel audio, but, since its not part of the DVI standard, no unit I've heard of will handle the audio over the DVI.
I just ran a feed to a second HD TV, about 60 feet away from my 622. In my case, I already had three RG6 quad coax cables run to the second location, so I ran component video. For audio, I have an HTIB receiver that accepts both optical and digital coax. And I also have a run of cat6 cable to the TV2 location.
Unfortunately, the 622 only puts digital audio out via HDMI or optical. My HDMI is already in use at TV1 in my HT room. So, I bought a converter for the optical output to turn it into coax and then bought 2 baluns (one for each end) to carry the digital audio over the cat6. Works great. If you have a phone line with 2 spare pair of wires (4 wires) or cat5/6 wiring near your TV2, that might be worth investigating. Otherwise, I'd just add a Toslink or RG6 coax run. RG6 is more versatile.