A different approach:

. . . Strop the razor _before_ showering ?

It sounds like the lather is drying out on your face, in the time it takes you to strop. Your facial hair should be reasonably wet after a shower, and might not need any time "soaking in lather".

If your lather is decent (not too wet, not too dry) when you put it on your face, shave it off _right then_. That's what I do.

[This idea is worth what you paid for it.]

Charles