James:
May I suggest looking through the AW.org Archives at GE refrigerators to learn more about various models and years? If you will search within both this forum and the Super forum, you'll find lots to look at.
If you are looking for one of the exact year your house was built, that does narrow your prospects a lot. If you are able to deal with one from that general time frame, you would have a lot more choice.
You are lucky in one respect: Needing a fridge hinged on the right means you'll find one much sooner than someone who needs a left-hinged model. In the days before reversible fridge doors were invented, most fridges were right-hinged, with left-hinged versions available by special order. So, you're looking for the more common version.
Ralph (rp2813) is correct that it seems inevitable that the best choices seem to be furthest away. Every collector on this site has had the experience of finding something wonderful that distance makes impossible to buy. And quite a few have pulled off minor - and not so minor - miracles transporting appliances over amazing distances.
The more flexibility you have, the more likely you'll find something great that's within reasonable striking distance at a decent price. I have long wanted a specific model of GE range. I held out for it for a long time, without success. When I decided I'd look at other possibilities, the model right below the one I wanted turned up - dirt cheap, and friends here were willing to help get it to me from another city where it was located. I now have a really wonderful range - and who knows, the one I wanted originally could turn up any day.
Anyway, check the Archives. Try searching on "GE Combination," because that's what these bottom-freezer models were called. Even if you don't find anything else you can live with, you'll read a lot of informative discussion, and you'll see a lot of great vintage fridges.
I"M KIDDING! I'm KIDDING! 
