First off, it's ROE, not ROEs.
Second, there really aren't any ROE - you do something dumb, you're fair game for having the story told. Remember that only 10% truth is required.
Next, it should be open to all ranks. I've done this in operational and training squadrons and everybody is fair game - to include Sq/CCs. In the FTU, there's a much greater chance of the students getting tagged with it because (a) they're students and have a higher chance of doing something stupid, (b) the mayor is an instructor and has the final say in who receives it.
While a bird seems like an original idea, I would say make it something they have to carry with them at all times (if you want to stick with the bird theme, make it a stuffed bird - like a no-shit bird stuffed by a taxidermist). We used a 2-3 foot rawhide bone that guys had to jeep with them. If you lost it (or allowed somebody to steal it), further beatings would ensue.