If you want a true senses of great versatile hunting dogs, you can't conclude your searc until you have looked at the Weimaraners. They are a great breed, all the way around.
They were originally used to bring down wounded big-game in Germany and have evolved to great bird dogs. They are still used in Europe for blood trails with Deer, Elk, Boar and others. But I have hunted waterfowl and every upland gamebird with them my whole life, and nothing can beat them.