Since we both live in NC, I presume the bear hunting you mentioned is black bear, and not an Alaskan brown.
That said, there have been some good recommendations so far — and some I would not consider.
• Don't even consider a magnum anything for NC hunting. I prefer to have something to eat after I shoot a deer. A 7mm Rem can leave you with half a deer shredded to bits. They are great where shots are 300 yards+ on 300 pound deer, but that's not likely to happen in NC.
• The 30-06 and .270 are great all-round cartridges but more than is necessary for anything in the Carolinas. People use them because their grandfather used them. I would only recommend then if this rifle may do double duty on other hunts.
• The .308 is a good round but the 7mm-08 blows it away ballistically, it's flatter shooting with less recoil, and has greater down-range energy.
• The .25-06 may be the perfect Eastern whitetail and black bear cartridge. It has mild recoil, shoots as flat as the 7MM Rem mag, will easily drop a deer out to 500 yards, and not destroy a deer if you get a close shot. (If you handload, the 6.5-06 has better long-range potential, but factory ammunition is impossible to find.)
• The .260 Rem is a great round, slightly more powerful than the 6.5 Creedmoor, with mild recoil and great accuracy. The only limitation of the .260 Rem is that few choices of factory ammunition are available. (The 6.5 Creedmoor is a slightly better choice for extremely long range.) If you find a good deal on a .260 Rem, look at it seriously.
• The 6.5 Creedmoor is a great round, and currently the most popular in the lower 48 states. This correlates directly to lots of ammunition choices. This round will kill anything he's likely to hunt, and do it well. It's extremely accurate, with mild recoil. It doesn't shoot quite as flat as the .25-06 out to 500 yards, but is available from almost every gun manufacturer. The only reason I don't own a 6.5 Creedmoor is because I already own a 25-06, a .260 Rem, and 2 .243s.
• The .243 is a great cartridge that should not be scoffed at. Some consider it light for deer & black bear, but it's killed a lot of each and can do double-duty on coyotes for off-season hunting. The .243 is not recommended for animals larger than black bears.
Great rifle choices already made:
• Used Tika T3. These guns seem to always shoot phenomenally.
• Mauser M18 in 6.5 Creedmoor:
https://www.eurooptic.com/Mauser-M1...thetic-5rd-Mag-Bolt-Action-Rifle-M18065C.aspx
• Savage rifles are scoffed at by many because they are not pretty, but they are inexpensive and I've never seen one that did not shoot well.
• Used rifles are often a GREAT BUY. It's been a long time since I bought a new rifle, occasionally new scopes but used rifles because used can mean more for my money.
I have a Remington Model 7 in .260 Rem with a Nikon Monarch scope that I should sell as it hasn't been hunted with lately. Let me know if you are interested. I'm in Orange County, not far from you.