If it were me, I would try to see if he would come to me! I would put on one of my long gardening gloves and go offer him my finger. That way, you could read the band and try to contact the owner. If he's/she's as docile as you say, it may WANT you to come out and get it!
Good luck!! I can't wait to see if this turns into Vee's Big Pidgeon Adventure!!!!!!!!!