I have owned alot of rifles in my 50 yrs. and out of everything I have owned I just bought a CVA Apex in 270 and this is the most accurrate comph. rifle I have ever owned and I can buy differant Barrles for it from 222 to 12ga, shotgun I can shoot a 1/2" group @ 100yds and this is with a 5 shot group not just 3 shots. And the thing about a single shot rifle is you will make that first shot count and not think about throwing lead every where with a multi shot rifle because the first one is the most important shot.
Also check out the Savage rifles they are very well built and that ACCU trigger in Awesome. For WhiteTail I like 243 / 270 / 7mm-08 / for longer shots and for med. range shots I like the 30-30 / 444 / 45-70 I bought the Apex in 270 because I want to go ELK hunting also if it was going to be just for WT I would have gone with a 243 BUT THIS IS JMHO.
Good Luck and Shoot straight