Keeping the doodling to a confined area, how about using an old picture frame?
I had Steel draw a picture for me on the glass. (He practiced writing his words instead.) I inserted the glass back into the frame, not replacing the backing. My frame fits perfectly in the kitchen window above the sink. I was going to attach suction cups or even a ribbon to hang it, but I didn't need to. And the best part about it is that we can wash the writing (or artwork) off and make a new one in a week or so.