I am learning to mod the game with the hope to be able to change this. Sad news then. Anyway,taking into account that I can perform headshots without problem in tournaments at lvl 1 with 10 in archery skill, I am not surprised by this.
You need almost zero modding skill adjust the accuracy on bows. Just make a copy of your spitems.xml, then ctrl+f "Accuracy." It is nothing but bows (and stones) with that stat line, a simple number. Bows range from about 85-99; don't drop them down to 0 or anything crazy like that because it might break something but any double digit number should be fine.