Is this your first Precision Rifle?
If so are you just testing the water, or have you been out with friends a bit, and have a good idea about what you enjoy. If it's the former I have a suggestion that may roll some eyes, but it is a good starting point. How about an Axis Precision in 223 Rem. I know not too ###y, BUT, it comes in an MDT Chassis, and it has a 1 in 7" twist barrel. Only two drawbacks imo, it comes with a 22" barrel, and every Savage I've owned has had the odd extraction issue at best (new parts solved the worst offender, sent from the factory for free).
223 is a great cartridge for Precision shooting out to 600m-800m. With 80gr-90gr projectiles and handloads sub moa and about 2800 fps should be easy, I think that trumps 308, at least regarding drop.
I doubt you'll be all fired up to turn an Axis Precision into a multi barrel gun, but you could. Regardless it's a good starting point, it's the most inexpensive 223 with a 1 in 7 barrel if I'm not mistaken. The money you save will allow you to get better glass, or best spent money in my opinion is reloading gear if you don't already have it.
$1100 for the Rifle, $500ish on usable glass, and $500 on reloading equipment. The snobs will mock me for suggesting it, but I out-shot everyone yesterday at a club event out to 400m with a Remington 783 223 HB in an MDT XRS. I'd actually suggest taking a route like mine, but for the 1 in 7 barrel, 1 in 8 is the best you'll get in the $1000 dollar range, and 1 in 9 is much more common.
If you've got money to throw at it pretend I didn't reply to your post...better is, well, better.