Yo do not need a 600W PSU for a single HD 6850, you can run a HD off a Antec Earthwatts 380W PSU, or even a Corsair Builder Series CX430 430W PSU.
EDIT: You could probably run a HD 6850 on that PSU as it only uses around 10 more watts than your 8800GT, but if you want to stay safe, grab a HD 5770 or HD 6770, as they use the same or less power as the 8800GT but perform much better.