Hart will square up action, lap-in lugs and install barrel for $650 (that includes bbl cost) last time I checked (9/10).
Bbl cost generally runs $350 or less, action square up around $150, and bbl installation (thread, chamber, crown, non-blue finish) $150-200.
So roughly $700. Addl options (non-std contours, fluting, etc) are extras. When you drop your action off, the smith will usually need deposit at least covering the bbl cost. Turnaround time can range from 4-6 or more months, so you can budget it that way (Two payments of roughly $350). Hope this helps