Well, I'll answer my own question!
You can use the newer Fuji Quicksnaps if you do three things:
1. Modify the winder diameter to accommodate the fact that the new cameras are thinner by replacing the rubber "gripper" on the winder stalk with one made from an "expansion nut" from the hardware store. The expansion nut looks like a"top hat" and only the top part of the "hat" part (not the "brim") has a threaded metal insert. Cut the "hat" just below the metal insert so that you have a neoprene washer with a stalk and replace the ikelite "gripper" with that one, using the spacers and washers from the Ikelite parts to position the now wider, but somewhat narrower gripper so it lines up with the winder on the camera. There is alimit as to how wide the "brim" can be -- if the "brim" is too wide, the sideways pressure on the stalk will cause the O-ring seal on the stalk to leak. I've only been able to experiment in the pool so i don't know how much of a problem this will be -- it stayed dry in the 8 ft pool.
2.Make a 1/8" wide spacer to fit between the bottom of the camera and the camera locating prongs in the housing. This holds the camera up against the top prongs so it doesn't move down and away when the shutter control is pressed.
3. Tape a small button over the flash switch on the Fuji camera. The Ikelite switch arm is not long enough to press the switch but it catches the edge of the button if you move the Ikelite switch about 1/8" from "Off" to "Fuji". If you move it too far, it pushes teh button out of the way. Although the plastic rear window for the flash ready light doesn't line up perfectly, it does line up enough so that you can see whether the ready light is lit. You want to move the switch just enough to make the light go on and no more.
4. Be sure the lens is as centered as you can make it to avoid having the picture cut off on the side.
I'll try to post some pictures of the install either this week or when I get back from the Keys at the end next week, but it's nice to make some "obsolete" equipment useful again! Of course, I'd still love to find a reloadable camera that would fit, but half a loaf is better than none!
Bill