Just run 2 oz. of TC-W3 2-stroke oil in every tank and forget about it.
TCW-3 is not a cleaner per se. It's really a preventative to keeps carbs from clogging up. It is also suppose to reduce carbon buildup.
My theory - if the 100% solution of bottle carb/fuel injector cleaner can't even phase this stuff, how in the world is it going to work when diluted?