Is your 2k budget rifle only or the total package? I have a couple Tikka's, for the money, very tough to beat. I've handled and shot a couple Sako's, excellent guns and arguably a step or so above a Tikka.
If you have not looked already, Browning makes some very interesting rifles these days. I've had the older A-bolts, good guns, and helped a buddy sight in the newer x-bolt, it was scary accurate. They have some of their speciality hunting rifles basically modified to be semi-custom and set up for Western LR hunting. I think they are closer to Sako's prices.
If the 2k is rifle only, NW Action works has a base custom rifle for $1,800. It appears to be quite a bit of rifle for the $. Their PMR Hunter has a trued Rem 700 ADL style action, Shilen SS barrel and a HS Presicion stock, etc. BDL bottom metal adds $100. They offer a 1/2 moa guarantee. Don't know much about them, but may be worth a look for a semi-custom outfit.