Oh yeah i missed that: Fast Shot is no good for bursting weapons. Good catch, xsarq.
I assumed you'd use Buffout and Nuka Cola. This does look like a Buffout build to me so you don't have that ST deficit and CtH deduction. With a -80% Chance to Hit, your 200 gun skill is rendered a mere 120. Remember that there is also a CtH penalty based on distance from target, so you could easily get your CtH down under 95% shooting at longer ranges. I recommend using Buffout and Nuka Cola to avoid this problem (and boost CW a bit too).
Also, use cigs man! Cigs are the easiest drug to get in large quantities for even a solo player with no help. You get that +1 to PE which would boost your Sight over 40, the gat's max range.