From what I saw in the mod code, this is not feasible, since the depots are copies of assembling machines, and their GUI and interaction cannot be modified using the mod api.
What I've done to go around this is I have a massive storage, which I call trash can, and I have several Supply Depots that are only fed by this trash can. If your road network consumes all of the types of items in the trash can, it will eventually use those up and empty the trash can.
Oh, and if that causes priority problems (that is, if the drones never get those items cuz another supply depot is closer), you can use circuit network to solve that. I did, but I will let you find out how to do it, don't want to take all the fun off it from you ;)