Given the short ranges you're hunting, the level of accuracy you want, and your budget, I'd suggest a Sauer S100, or for a step above the S101.
The bolt lift is only 60 degrees; the barrel is only 22" on regular cartridges, 24" for magnum (unless you get the 20" S101 model).
There's an affordable synthetic-stocked model of the S100 that you can find in big-box stores, but you might have to special-order the wood stock if you want it---and prepare to pay big money.
Here's the page the S100:
http://www.sauer.de/us/products/bolt.../features.html
For the S101:
http://www.sauer.de/us/products/bolt...sauer-101.html