I used a Nord as they are one of the taller races and height affects jump height and running speed, and also the battle cry power can save your butt if swarmed when using this build.
The idea of this character is to forgo the typical type of archery where you sneak everywhere and try to 1 shot everything. This character will only sneak for a first shot, and will only go into sneak after he has acquired a target, so no constant sneaking.
A faster bow is ideal for this character, though slower ones may work as well. I prefer Zephyr until I can smith a dragonbone bow. Until you get zephyr the best bow will actually be a forsworn bow surprisingly. It has the base damage of a dwarven bow with a speed between that of the hunting bow and orcish bow which ends up giving it better DPS than anything short of zephyr, auriels bow, and a dragonbone bow. Yes, it has better dps than a daedric bow. The Daedric bow has 7 more base damage per shot, but that becomes minuscule with smithing upgrades.
The quick draw and ranger perks are very important to this build as well.
With this character I also discovered how great jumping can be for dancing around a melee target. By leaping back or to the side I can get out of melee range and if you do it right you can end up behind them at times forcing them to turn while you can shoot them. Jumping can be quite effective for evasion with this character.
Typically I use Alchemy for healing as well as making poisons. The best ones for this build are actually potions that slow the enemy. On that note a frost enchantment can also be useful on your bow due to the slowing secondary effect.
This is just my take on this concept. I was wondering if anyone has their own version to share, or any ideas for improvement on the build or combat strategy.