This is pretty much one of my exact builds nearly verbatim, except mine has both Action Boys, only 1 Lifegiver, and Even Tougher. I normally used Sharpshooter in the past, but dropped it as a test since gun skill went to 300. It works well.
For leveling, i say get Boneyard Guard perk first at level 1,, then use 10 Guns-n-Bullets skill books to boost Small Guns. Then only raise Small Guns until you get it to 180 to get BRoF. Boost EW later.
But! I can tell you there is a huge difference between Luck 9 and Luck 10! So make sure you get this guy some SPECIAL implants. At 350k each, it does not take long. He needs ST, AG, and LK for sure. PE too. IN is also nice to have if you get it at level 30 (assuming you level him to around 70 or more).