I suggest you delay your plan to use Bozars and plan instead to use LSW, the other Big Gun that could be used in a sniper plan. Bozars are not crafted so i don't believe a -1 AP Bozar exists, or at least a supply of them will not be easy. LSW on the other hand was recently changed to include single-shot mode, and has a range of 45, pretty good for sniper use. Plan to use LSW on this "sniper tank" idea of yours, and you can use such a character to train, and get PvP experience first.
So like ST 1, PE 9, EN 10, CH 1, IN 2, AG 9, and LK 9.
Like Seki said, plan to get BG skill up to 300. With IN 2, you can get there before level 60. Sounds painful? Yes, with no level cap on skill points, it is more painful to stay competitive. IN 2 allows you to have high Luck (Luck 10 if you can get a Luck implant some day).
The stats above require fighter to use cigs (for Perception 10) and Nuka Cola (for Agility 10), but no Buffout. Even with ST 1 and no ST drugs and no Weapon Handling, chance to hit groin is 95% at max range (45) using LSW with BG 300 skill.
Even with IN as low as 2, you can just barely manage to get the crit perks in time before the next perk. So this includes More Critical @ level 5, Even More Crit @ level 8, Better Crit @ level 21.