I know I'm gonna probably get some ribbing for this but,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,if they are in the Dove family then they are no doubt edible, and probably just as tasty as mourning doves :)
You may have a veritable feast awaiting you in that tree of yours :)
wrap em in bacon, season, broil until golden brown,,,,, man,,,,, I'm hungry already.................
Jeff