This build was just done because it was one of my favorite builds from Dark Souls and I couldn't find any Bow builds in Dark Souls 2
Alonne GreatBow +5
Sword of Amazingness +10
Armor you wear doesn't matter as long as you can keep your weight in. between 40%-59%.
Third Dragon Ring
Ring of Blades
Hawk Ring (If you want)
The vigor, endurance, and vitality can all be adjusted in this build to match your equipment weight. Also depending on which sword you choose to use your str and dex could be switched.