If I'm a 10th level arcane archer with a +5 speed dragon bane bow would it stack with my enchance arrow ability to be a +5, speed, dragon bane, holy, distance, icy burst cheese bow? That would give me a +14 weapon. The arcane archer class states that it's ability doesn't affect magic arrows but when I nock my bow it turns magic from the bow's magic but would that be applied at the same time as my arcane strike would so that they stack?
Nothing of the same type stacks. You use whichever +X is higher. These are enhancement bonuses. The special abilities (bane, holy, etc) are never applied twice. Make sure those from your bow are different from those granted by your class.