I have a 1983 Raleigh Gran Prix for my son that has alloy Araya 27 X 1 1/4" wheels. I also have a 82 Trek 610 for my daughter with alloy 27" wheels (the brochure for that year lists Rigida 13-20 as the wheel for them but the labels are worn off so I don't know what they are).

The wheels on the Trek are visibly narrower than the Raleigh's and are fitted with Bontrager 27 X 1 1/8" tires. I would like to find a narrower set of wheels for the Raleigh (actually my son would like a narrower set) but don't know what to look for. I'm not comfortable trying to fit the Bontragers on the Araya rims because they just seem too wide for the tire.

Any suggestions?