Shortactionsmoker can get you into a Tikka T3 with a varmint barrel in 308 for a good price (get the threaded model). You can use the "Beretta bucks" promotion to get four more five-round mags for free.
Wait a few weeks for SWFA's annual black Friday sale and score a SS 10X MQ (mil/mil) scope with rings and lens covers for around $300.
Buy a box of factory Hornady 168 AMAX Match in 308 and you're still under $1,000.
That's where I'd start.
