I think it's interesting that there is a thread for posting pictures of mining rigs, but no thread for posting (read: bragging) about highest core clocks managed on cards, and the configuration that went into it, etc. What works for one person with one card might help another person with the same card, etc. I'll start.
GFX Card: Sapphire 6970
Core: 1030MHz
Mem: 150MHz
VCore: 1225mV
Fan Speed: 100%
Consistent Mining Temp: 69.5C
Stable for at least: 24 hours
This card is an absolute champ, has always run cooler than the others no matter what slot I put it in. (I have one of these,
http://www.drillspot.com/pimages/213/21333_300.jpg, directly blowing into the case.) Looking to up its VCore a bit further so I can increase the core clock a bit more and get the temperature in line with the others. My philosophy: push it as hard as possible until the temps are about the same for all cards, and stay below 80C if possible!