It might be worth trying out a "dummy plug" for the 6970. Easiest way would be with a DVI-to-VGA adapter, and 3 resistors with their legs in the appropriate VGA pin holes. That makes the 6970 "feel" like there's a monitor plugged in; otherwise, it might be going into some stand-by / power saving mode.
FWIW, i haven't had that happen with my 5850 nor with my 7770 (both secondary cards in my respective mining rigs), using Catalyst 12.6 on both.
Also, you might wanna consider changing the login to stratum.bitcoin.cz:3333 Less load on Slush's servers (due to using the Stratum protocol instead of the getwork on the api/api2 servers), plus "just" 2% fees (as opposed to 10% fees on api/getwork).