You could look at the savage rifles.. they dont look very attractive, but shoot god I have been told. I staying away from remingtons, since the quality control I have seen on some rifles, AND my own are really shabby..
If you want to go the factory route, I would choose a cooper rifle! I have only seen them on photos, and they look sweet! If you live in a dry climate, I would choose a wood stock, if not they also sell the "phoenix", wich has an attractive syntetic stock. Around 1300$
Now, if you want a repeater, try to find a old Tikka 595 or 695.. they are the nicest factory actions out there! To bad I cant seem to find one for sale where I live..
Now what caliber.. this is long range hunting, so you need a high BC bullet...
20 cal: 50 grain, but speed makes up for the lack of it
22cal: 75grain and up
6mm: 75 and up
6,5: 107 and up
7mm: 140 and up
30: 168 and up
Now if you find a Tikka 595, you can use the 6mmBR with the magazine. Just buy a 22-250 mag, and it should feed fine. Find a used rifle, buy a new barrel, mcmillan stock... and go have fun.
The 6mmBR spits out 55grain BT at 3800fps, and 105 grain A-max at 2950fps.. that should vaporize(?) any varmint within 400 yards.. then 105 A-max should take care or the rest out to 1000 yards.. The 6mmbr would be my preferd cartridge, just because you get so much out of a small package! Gives 4000 rounds of barrel life..
For a 223, I would go with a 223 AI, for sensible shooting.. 40grain at 4000fps, 50grain at 3750 fps, 75 grain at 3100.. you should be able to see hits.. also good for 1000 yards.
Or... 224 Vais for the fun... shoots 80 grain VLD at 3800 fps.. maybe 75 A-max at 3900? Barrel life.. hope it would be 1200 +
6mm: 6br for sensible,
For fun: 6-284, 6-06 gives equal of the 6-284, 6mm Vais, 6mm AI shoots 75 vmax at 3800fps..
You could also build a 20 cal.. buying a AR-15 and shooting 32 v-max out at 4200 fps, should make a mess of things.. called a "20 practical", its the twin of the 20 tactical, but simpler to make see here : http://www.6mmbr.com/gunweek061.html
With the 20´s you are limited to 500 yards.. give or take.