I laugh at your 3000' range and one-up you with 30000'. Every size increase gives you a multiplier of 1.25 on your range increment, you get to start with 130' on a Composite Greatbow and then we get crackin'. Dragonbone up to 150', Ranged Weapon Mastery for 170', Deepwood Sniper up to 270', Far Shot to up to 405', Cragtop Archer to shoot up to 15 increments and Colossal to multiply it by 1.25 4 times for ~14831'. Hell, we could use Flight Arrows for 25' more and Distance weapon for doubling all that. So ~32400'.