One piece of advice i would give, is to use a similar platform to what you are used to. Mike you shoot a service rifle...I would build an Tube Gun...I would use a Remington action, in a caliber of what you want (308, 6xc) would be my choices. I would stock in a an Eliseo stock, this a tube rifle set up very close to an AR in fit. You can shoot any game with this..Palma, Long Range,Tactile, (god forbid) F Class, BenchRest. Eliseo stocks are $1000, but that is complete, a good barreled action gone thru by a good gun smith will be 1200+...for about $2500 your going to have rifle that will out perform anything.
http://www.gotxring.com/