Ducks will be your best bet as I see way more people interested in them than geese. Good laying breeds or heritage breeds will make the most income. Good luck :)
Pheasants do require a covered run. Ring neck and Golden pheasants are both good.
If you want to focus on waterfowl I highly recommend focusing on a rarer, heritage breed of duck. I've seen Silver Appleyards go for $25/duckling
If you are limited on space your best money maker is definitely quail. Quail only need 0.5-1 sq ft of space per bird, and only a coop/cage. Whereas chickens need 4 sq ft per bird in a coop, AND need to be let out. Pheasants need about 20 sq ft per bird in their run space and also need a coop.
Well, see, although I'm no expert I'll give you an idea of individual markets for pheasants, Coturnix quail, and rare chickens in my area.
This is my area, so of course the demands will be different, but there is little demand for turkeys, geese, or even ducks.
Pheasants here are in high...