1 ) Making bow crafting more complicated is something I’m 100% on board with.
2-3) If you introduce bows that will scale with strength the way you currently suggest you will have to either re-balance all enemy HP and armor values, or high-end bows with moderate skill will one-shot just about everything (instantly sending the game meta-balance down the drain).
As for “starting with 18 strength and bullrushing the greatbow” — it’s a completely normal play under current meta available to any profession and starting scenario.
More so if you plan to introduce more bows with lower strength requirements and similar damage scaling.