OK, I've hit a major snag.
I have a rear RSX road caliper with short reach. Based on the size of my frame, I thought it would be able to accommodate 700c wheels (Nishiki frame made for 27"). Not so.
If anybody has a caliper with long reach that even KIND OF resembles an RSX caliper (picture below), I'll trade you my caliper with short reach.
This project is getting way too difficult.