I wanted to convert my 85 Bridgestone T700 to 700c wheels but can't adjust the shoes low enough to contact rim without coming in contact with the tires. The bike uses Dia-Compe 960 canti's with a 23mm reach. Is there a way to do this or am I out of luck.

My guess is they welded the bosses at a height that will only allow the use of 27" wheels.