I can't eat pigeons :x
Well, I don't know how to prepare them (If they can be prepared at all)
You can eat wood-pigeon, but I don't think you get it in America.
I wouldn't trust your regular city/town pigeon though... Likely a little bit too dirty, in my opinion.
But there probably is some way to prepare them.
I don't really mind hunting much, although for some reason I'm less impressed with hunting with guns.
I've got a friend who does some bird hunting but mainly rabbit hunting, for which he uses Ferrets, Nets and Traps.
And I think he uses a sling for birds, which is pretty cool.