Fender clearances on those bikes are pretty generous. The Schwinn
26x1-3/8" size (ISO 597) is the next size down from 700c. You can
substitute 700c wheels with narrow tires, as long as you use brakes
with shorter reach. It may be necessary to shape the fenders a bit
where they pass through the brakes, to prevent interference.
For a versatile tire with an outer diameter similar to the stock
Schwinn tires, try 700x28.
Chalo