I haven't done goose breast either, but I have smoke domestic duck a couple of times. Are they wild or domestic? Domestic geese will have more fat and you would not have to brine if the skin is still attached, though a marinade will give you extra flavor.
As Giz states brines for turkey and chicken will work, but I would search the internet for brines specific for duck or geese. I would smoke at 225°F until an internal temperature of 140°F with about 1:20 - 1:40 hours of smoke; that is what I take duck to. If the skin is still attached, I would pierce or slit the skin, taking care not to cut into the meat.
For jerky there is a recent post on either turkey or chicken jerky. That should work for making jerky out of goose breast.
Maple Turkey JerkyA while back, this link was posted on this site.
Goose Recipes