Yeah, I would probably get rid of Rapid Shot, bumping Precise Shot and Deadly Aim to an earlier slot. Also take Improved Critical as early as possible - not for the damage, but because it gives you a lot more Grit to play around with, and using Grit is fun. So your build would look like
SpoilerL1 - Rapid Reload (Pistol)
L3 - Point-Blank Shot
G4 - Precise Shot
L5 - Deadly Aim
L7 - Dodge
G8 - Improved Critical
L9 - Mobility
L11 - Signature Deed
G12 - Deft Shootist Deed
L13 - Snap Shot
L15 - Improved Snap Shot
G16 - Combat Reflexes
I see that as the core of your build, the rest of the feats don't really matter.