Put a clean (brand new) synthetic sponge into a shallow bowl and add just enough water to soak the sponge. Put the bowl into the tank on the hot side. The nooks & crannies on the sponge will provide lots of surface area for evaporation, but there won't be so much water in it that the snake can soak, and if the snake tips it over it won't turn the bottom of the enclosure into a sopping wet mess.
If your snake weren't recovering from a burn you could add a humid hide with spaghnum moss or eco earth.