Yes...get the screen covered with contact paper or duct-tape except just a bit open for some ventilation and/or a light. You can put the waterbowl under your heatsource, but you'll have to check it daily to make sure it doesn't dry out. Mist the cage with a clean squirt bottle filled with clean water.

If none of this helps, or you need the humidity raised right now but can't get that screen covered for some reason, then you can also provide a humid hide for the snake to retreat to. Put a damp sponge inside a hide on the warm side of the tank.

Hopefully these things will help you to have a smooth shed without having to resort to soaking.