I think 3 emotes is fine for bows. You have the advantage of being at range. You also then have the problem of a lot of different magic's base projectiles being 'arrow strength' and taking three emotes as well. What about those? Do you want those to be two-emote? I think a lot of non-magic RPers would be up in arms about being two-emote ice projectiled over and and over.
Amendment: 3 for the first 2 for anything after might be fine, because that is unironically also how void mages work. I didn't read anything else before commenting 🙂