I would get much higher con myself, 8 or 9 con or more, and I disagree with the guy above me, perception's influence on damage isn't that high, it's influence on accuracy is also very minimal, like 1% accuracy every point of per even on high eva units like locusts on dominating, and shotguns have leading shot feat that ignores tons of evasion naturally, 11 per is as high as I'd go for shotgun, you could probably settle with lower, 8 - 9 if stats are really needed elsewhere.
7 int seems overkill, none of your current feats requires that much int, 4 will should probably be lowered to 3 as well, you seem like you want to use shotgun burst fire as your main form of combat in close-mid range, but shotguns are loud and you'll likely aggro half the map, with 3 con that's rough. 10 agi seems overkill as well, I understand that you want your eva/dodge high, but you are really giving up other stats, the most I'd go is 8 agi for uncanny dodge, you should probably get evasive maneuvers as well.
You cannot dodge/evade everything, you'll eventually get hit, evasion only reduce hit chance down to 40% by itself, with other factors it can be lowered to 10%, but you'll still eventually get hit/crit, so you need a health buffer, so higher con is needed imo, 3 con is for builds that merely rely on stealth and movement for defense, not for eva/dodge builds.
Another thing is that you should probably optimize your skill points better to get some bio/chem/tailoring, electronics makes energy shield emitters and plasma grenades, chem makes gas and mk5 frag grenades, you took grenadier so I'm assuming you want to throw a lot of grenades, and tbh it's one of the most effective form of damage on higher difficulties. Eva/dodge builds don't use metal armor so you are better off crafting armor yourself with nimble to reduce armor penalty, unless you plan to stick with rathound regalia for a long time, bio lets you craft some drugs that's otherwise difficult to obtain, the most important ones for you are probably jumping beans which add 10mp/25%dodgeeva and bullshead which grants stun/incapacitate immunity, aegis reduces damage taken by 15%, stacks very well with morphine shot, and of course, hypercerebrix saves you tons of skill points elsewhere, twitch will help you also.
Persuasion isn't very useful, and while lockpicking/hacking will make some areas much easier, they are not a must have, 110 effective mercantile with hypercerebrix/underpie is the most you need even on dominating, 123 effective throwing is required for max throwing precision, anything over that is overkill.