I have run into a few bikes that CR720's have issues on. The latest is a 1994 Nishiki. The problem is that with the stock setup, the leverage point happens past the point where the shoes hit the rims. The brake arms are angled too far out, so I am having to angle the shoes downward to contact the rim flat. Shoe angle adjustment isn't the problem however. Where the mounting posts are on the frame, they sit too far inward, so it throws the angle off and leverage to stop effectively is not "there" yet by the time the shoes have already hit the rims.

SO... It seems I have a minimal amount of options.

Switch to V brakes and use travel agents for the Tiagra road levers. Don't want to do that though. I'm a huge canti fan besides. I still might have the same issue... The arms may sit too far out.

Find thinner brake shoes? Do they even still make thinline brake shoes? I've been out of the game for a while.

Somehow find thinner angle adjusting washers? Not sure if that would even give enough room anyway. It's already super tight with the skinny ones on the shoe side.