Just thinking out loud here, but...
Surgeon Action- ~$750
Timney trigger- $130
Krieger Barrel- $285
Stock- $150(Boyds)
STD Leupold bases and rings- $75?
gunsmithing- $200ish
= About $1600-$1650 or so, which would leave you with about $350 for optics. You could get a savage action and cut a lot of costs.
Is this going to be a long range rifle or a brush rifle?