There is allot of archer friendly skills in the NB tree's (not to mention the bow skills are good too obviously)

here are the ones i like (mix and match however fits your style)
- Assassination
1. Mark target or any of it's morphed forms- this is good to boost your
damage against the target at range and heal you once it dies.
2. Assassin's blade can be morphed to be used from range however i hardly
slot it.
3. Haste and either of it's morphed forms will be great to use one day for the
attack speed it should give you but wait till they fix it because it doesn't
seem to do anything for bows.
- Shadow
1. Shadow cloak is NB's bread and butter, always good slipping out of sticky
situations and it can be morphed into shadowy disguise that will give you a
heavy crit boost to your following attacks.
2. Aspect of terror and my personal favorite mass hysteria. Although the are
only effective in melee range they will send two enemies that got too close
to you running in fear.
3. Dark shades can be cast at a distance and they sometimes draw agro
with the little bit of damage they do (if you let them attack a little bit first)
but it's not a ability i like to use with my bow
- Siphoning
1. strife is always good. long range attack + heal over time, whats not to like
2. Agony looks good (12 second sleep pretty much) but it's not a skill i use
because i lie to shoot damage out everywhere and i always wake my
agonized target on accident.
3. cripple- another personal favorite of mine for the bow. Steal enemies
movement speed and take it for yourself makes this the perfect tool for
kiting almost anything. Sadly this ability also seems to be broken so hold off
on it (you gain no movement speed currently).

Notice I didn't list any Ultimates. That's because, you guessed it, they are all melee for NB. not necessarily a bad thing for archers, it just means you got to let the enemy n close. Actually now that i think about it Consuming darkness is more of a aoe buff than a attack so i guess you could use that while enemies are at a distance. My personal favorite Ult for use with the bow is Soul Strike from the Soul magic tree, nothing beats a giant lazer to the face.

Anyways i'm sure other will come along that can offer better advice than me but for now i hope this helps you get started.

Your choice is a little limited to synergise NB with bow, but it can be done.
I've got a ranged bar and a melee bar and on my ranged bar I use:

1. Crippling Grasp - even though the movement siphon is bugged its a Heavy dot with a 1.5 sec immobilise so it slows works ok for kiting already. Once the movement speed buff is fixed it will be THE kiting skill.
2. Swallow soul/ Funnel health - either is fine, funnel for duo or groups, swallow for solo play. Decent nuke with a heal over time.
3. Acid spray - bombard morph has a good immobilize but acid spray does more damage with its dot and I use fear if they get too close anyhow.
4. Mass Hysteria - Awesome skill, love shouting "Run away fools!" when melee closes the gap and proceed to fill their backs with my quiver.

The last slot I swap around depending on the fight.
I use Shadowy disguise for 100% crit chance occasionally and extra defence in solo fights.
Twisting Paths can be a good additional AOE for a mid range skirmish and you can use it as a speed boost to kite away. Works well with bombard/acid spray for aoe kiting.
Venom arrow is a good stamina based interrupt.
Siphoning strikes/Siphoning attacks can be a useful toggle for long fights too.

NB Ultimates all kinda suck for ranged combat, I use veil of blades in my melee bar, Soul Strike is fine, but you don't get that till the later levels.
I have my heart set on Ice comet from the mages guild for my ranged Ultimate. Nothing like a fat ranged AOE nuke with CC to complete a ranged set.
Too bad I will be hunting lore books forever to get it.

You'll note, I don't use assassination with bow. I find the passives don't synergise well, dots don't crit and the rest only trigger on assassinate damage skills.