As noted above, I have gone entirely to platforms on all my bicycles. I was at Gregg's Cycles the other day and bought a pair of strapless mini toe clips. They seem to be made of pretty indestructible plastic. I am going to mount them on my FS MTB and see what happens.

A couple of decades ago, I used the Christophe metal clips and leather straps on my roadies, so it will be interesting to compare these strapless clips to those.