Schwinn was unique in their middleweight and lightweight wheel sizing, making it harder on us trying to restore these bikes now many years later... but it's nowhere near impossible.
Here are some cheap alternatives:
http://www.niagaracycle.com/product_inf ... ts_id=1408
http://www.niagaracycle.com/product_inf ... s_id=12255
Niagara is a good company to deal with. Memory Lane Classics is another great source.
http://www.memorylane-classics.com
A bike shop which enjoys selling and servicing "cruiser" or "comfort" models is likely to know what you're talking about with these tires. The shops geared mostly to latest and greatest road bikes and downhill mountain bikes, they'll probably look at you funny.
If there's any question about what you need, the size is 26x1-3/4" inch, and the rim diameter in the current system is 571mm vs. the 559mm of most "standard" 26x2.125 or 26x1.75 or 26x1.90 MTB or "cruiser" models of tire.
Good luck, once you solve this problem I'm sure the project will move right along.
--Rob