Bob - I just tried my late-1940s Deardorff 5X7 back on my grey 5X7 Ansco. It doesn't fit, but I was shocked how close it is. I would have bet good money the Deardorff back would be smaller than the Ansco rear opening. It turns out the Deardorff back is just slightly larger than the Ansco in overall outside measurement. Also, the smaller front section of the Deardorff back which fits inside the camera back is larger than the Ansco frame. It looks like both of these could be reduced in size by a trip through a table saw or router table, if you have a setup to make fairly precise cuts. The Deardorff back has metal mounting pins, two in each corner that will need to be pulled out.
Or, it may be only a little more work, and possibly less money, to buy a Graflok back and make a plywood frame the size of the Ansco opening to attach it to. I'm not sure which Deardorff reducing back you are looking at on eBay. There is one for $159.99, but it isn't a Graflok. There is another which is a Graflok for $375. Yikes! But my search may have missed one. I think you can find a Graflok back on eBay and pay a woodworker to make a frame for your Ansco and beat that price.
Len