If its a static target you really shouldn't be missing at all :/
Granted if the target is on the other side of the map one probably can't even see the arrow, but in "normal" combat ranges a static target is going to get hit. I use a tatar bow with just 140wpf so my arc is huge and there's a bit of a wobble but its still possible to hit 100m+ targets consistently if the buggers would stop dancing.
Ps. And to get back to Eyebeats point, with 5 ath I can outrun most everything. Eyebeat will catch up to me but if there is another archer nearby he'll have to put his shield up, thus, making himself slow so I can outrun him.
Pps. The best "archer hunter" build I find is heavy 1h cav. Its armoured enough so that the arrows wont kill your horse, faster than they can run, and the 1h means your not limited by the lance angle which makes lancers so easy to dodge. But if the archers are roof camping then fuck that.