I get no rub once I put it into the 7 or 6 gear.
What threw me is that with my triple bike, I can ride the middle ring and the 11 cog without that problem... Probably shouldn't but I do...

The only other infomation I have is that this was originally a 7 or 8 speed bike - back in '98. So that might explain the rub past the 7 cog.