Ryan is my first choice for everything, I have a couple match rifles and some hunting rifles from him too. It doesn't leave his shop unless it is perfect. But the OP stated he had most of the parts already. Ryan is very particular about what he builds....You can also try Ryan Pierce @ Piercision Rifles in Iowa.
Jim Kobe in Bloomington does nice work and usually is really quick too. 952-884-6031
Greg Wahlstrom in Ogilvie, Straight Line Gunsmithing 320-272-4897
Randy Gregory of Accuracy Unlimited in Medford, WI 715-748-4427
Really good smiths often have a sizeable wait time. Do you have a reamer, and what caliber are you building?
Scott
You can also try Ryan Pierce @ Piercision Rifles in Iowa.