Honestly, I'd rather go with a modified blind sniper build for rifle + pistol. 15-16+2 Dex, Versatility, max melee, 10-11 Per 60 Guns for feats. Dump Con and Agility to get the stat points you need and swap out Fast Metabolism for Doctor (pulling 15 points for Bio either from Throwing/Traps which you've crazily overinvested in, or from crafting which you've lightly overinvested in), which is nearly as good for a build that doesn't use psi and wears stealthy leather armor.
If you really want to use pistols, get that Dex way up there. Otherwise by late game they just won't be doing much and you'll be stuck having to either rely extremely heavily on traps and grenades, or else mostly just using your sniper and sneaking in a pistol shot every now and then just to feel like it was worth it. Very high Dex, and it will be.
With that much Chemistry, I'd much rather haul around a chem pistol of my own crafting than Wyatt's 44. The 44 is a good choice in early game but chem pistols are nice. If you did go that route, since your stealth is so high that you'll always be starting combat on your own terms anyway, you could drop Gunslinger for Cooked Shot and vastly increase your ability to control the battlefield - but that would also mean you can't get 2 shots a round with the .44 unless you use Adrenaline, unless you go with the higher-Dex build concept. (edit: case in point - with 18 Dex, you can get 5 chem pistol attacks a turn with Magic Voodoo Amphetamines; add in an Advanced Catalyzing Belt and you can do 6 a turn with regular Adrenaline, or 5 + Cooked Shot with tribal cocaine. That's going to be a tremendous short-range output. Use XAL-001 instead of a crafted pistol and it gets even crazier.)
Your build will basically always be better with psi than without, but you don't need psi to beat DOMINATING. You can do just fine without it.
edit: 15 points out of Electronics and 30 points out of Traps (which will still be very high if you take a Dex versatility route) lets you put 45 points into Bio, which with housing bonus lets you craft Hypercerebrix, which in turn allows you to free up a few more points from your crafting skills or just make higher quality stuff.