You need to provide the correct environment that includes enough humidity for the snake to shed, that is all that needs to be done.
The picture shows a snake with a stuck shed, it needs to be soaked when it has a stuck shed, not allowed to break it off in tiny pieces.

A sterilite tub with lid
1 1/2 to 2 inches of 88ish degree water
a hand towel for the snake to rub on and to help keep the snake from floating.
soak for 30 minutes
replenish the water with more 88ish degree water
soak 30 more minutes

Forget that the snake doesn't like to soak, it needs to soak if it has a stuck shed.
You need to address how to maintain a higher humidity level in the snakes enclosure or get a different enclosure, for the snakes sake.