You can feed baby rabbits -- but there is a good chance that they will get stuck on baby rabbits so be sure you have a nice steady supply (and rabbits I believe are also rodents are they not?)
Chicks will work as well -- tho I wouldn't recommend - as with rabbit above there is a good chance that is all they will eat -- plus- as someone mentioned the poo stench is awful.
My suggestion -- either see if f/t would be concern for cross contamination -- or don't tell them.