"White doves could mean several things to many people. Albino ringneck doves, bull eyed white ringneck doves, and white homer pigeons are all called "white doves." So in the end it depends on the specific birds you have. As far as breeding it depends on if your birds are good parents or not. Generally doves take care of their own babies, but rejections do happen, and you can let nature take it's course of you can try hand feeding. We use a formula of generic birdseed and game bird crumbles ground to a powder, and mixed with water. It should resemble a thin slurry, and can be fed through a syringe every two hours. As far as pricing it all depends on if you band your birds, and or if you show them etc. We are members of the American dove association and National pigeon association and all of our babies are seamless banded. We take in the colors, relationship status and breed of the bird into the price.
Regarding a rabbit hutch, aslong as it's predator safe it should work. We have our doves inside the house in parrot sized cages, but they get daily fligh time in the house, where as our pigeons are housed outside in the loft, and get flight time. I hope this helps you.