What counts in humidity is surface area. Amount of water or how deep it is does not matter. It is purely how much surface area is available for evaporation. Now, if you get something fairly deep, you don't have to fill it up that often.
I suggest putting a small pan in there that has pretty straight sides so the surface area does not change as the water evaporates and see what humidity you get after it stabilizes. If it is too low, add another container of water. If the humidity is too high, put something in it to reduce the surface area or try a smaller container. You could use aluminum foil over part of the top or maybe float a piece of plastic or something that does not get wet. If you use wood, the wood might get soaked and eventually add back to the surface area. Of course, you could always wrap a wooden block in aluminum foil so it does not expose wet wood for evaporation. If you can build your own incubator, I'm pretty confident you can play with the surface area and get something that works.
Good luck!