do you have a micro adjustment on your shifters? Are you running a double or triple. If it's a triple, then there really isn't a need for you to spend much time in little, little. But, if it's a double, you're looking at the micro adjusting (like a half shift) or adjusting your tension on your cable so that the rub doesn't happen (more tension on the shifter will cause it to move toward the next ring up on the front, and provide more clearance for the chain).

The other thing that can cause the rub is if the fd is not straight, ie, if it's angled, to check this put the der as close as you can get it to directly over one of the chainrings, and stand over it, see how close to parallel they are, it should be very close to parallel.

A third option to kind of "cheat" is to angle your fd "out" just a bit, to allow for more clearance in those outer gears, but this may have unwanted results on the lower gears, as it may then rub when in small/big combo, which you will indeed need, regardless of double or triple setup.

Joe