A sump is a great place to add some kind of auto top off device. The salt water guys use them all the time.
Have a look around and there are a load of designs some of them as simple as an upside down rigid container with a tube in, others involve float switches and the like.
If you have enough room around your sump it wouldnt be too hard to set up something with a capacity of 5-10 gallons that would keep the levels constant. You still have to fill the container and would want some kind of valve on the outlet in it so it didn't dump all its water when you were doing a water change.
Quick Design Here
I think this would work. Air would only be able to get into the inlet when the water level drops below the level of the inlet pipe. When it does air would bubble up the inlet and allow a corresponding amount of water out, thus keeping your levels constant.
Obviously drip trays or glass sheets will help but this is more fun