max accuracy is 98 with x3 hierloom.
also try a pure agility archer, you might not be able to pierce heavy armor sets but you sure have the best draw time & accuracy... and speed.
I think it goes for a build of longbow (makes up in dmg)
Age 48 [31]
Strength 18
Agility 21
One Handed 1
Two Handed 1
Polearm 1
Archery 165
Crossbow 1
Throwing 1
Ironflesh 6
Power Strike 0
Shield 0
Athletics 7
Riding 0
Horse Archery 0
Power Draw 6
Power Throw 0
Weapon master 7
also: your slots should look something like Hammer, longbow, khergit arrows x2
Edit : FIXED, silly me