Raleighs from the 70's have the geometry that you're looking for. Almost everything they made has a 22.25" top tube. If you're looking for entry level, a Grand Prix, Super Grand Prix, or Super Course would be decent candidates. The Super Grand Prix is a little uncommon, but the other two models were made in abundance. I think you could reasonably expect to find a Grand Prix in pretty good condition for $100 - $150. A Super Course for $125 - $175.

If you'd have caught me about a month ago, I had a Specialized Cirrus (or is it Sirrus) in almost exactly the size you're looking for. You could have had it for under $200 delivered, but I gave it to my daughter's boyfriend for transportation at college.

Hang in there, I'm sure you'll find something pretty soon.