The requirement for the shoe mount is simple:

able to mount on a shoe tightly

I had a quick thought and designed a mount and test.

The following is the result.

It fit the shoe perfectly, however, it could not fit into another shoe. Therefore, the shoe mount must be modularized (design a mount for a special type of shoe) or add a degree of freedom to adopt more shoes.

The following is the design up to this moment. The moving parts would be self-assembled during 3D printing. This is the first time I tried to use this technique and the result was acceptable.