Remember that with the points u need to upgrade str from 300-305 u can get like 30 of dex (dunno the exact number, but sounds logic to me). If i remember correctly, 1 dex = 0.35AP, so it's worth it to get those points, regardless of course, a useless dodge.
Also, yes... more con = more acc, but a champ with more ap than u will allways kill u with these stats. As u said, a champ with dodge is kinda failing, so ppl will have like what... 800 dodge? (without grlorius set). So with 1100-1300 acc (with nice buffs it's easy to reach) u can hit any opponent (excep raider, scouts, u have an acc set for them lol).
As u can read, i'm trying to solve my "accfobia" problems. I believe that the best way to find ur perfect char is testing vs a good katar raider and a good 2h champ. First one will give u an acc needed to have a solid % of hit, and the second will help u to know if ur far or behind ur class.
Ofc, this is my personal opinion too