ARmalite makes the AR-10, DPMS makes the LR-308.
Between the two it really a matter of personal choice, but DPMS seems to have a bit more options and is a little cheaper but ARmalite seems to have better fit and finish (IMHO) but that would not effect hunting. I myself went with ARmalite. Hey, it's what AR stands for. You also got Rockriver to choose from too and I have heard nothing but good things about them.
Note: Magazines as a rule are not interchangeable between most AR-10 style rifle brands and some parts only fit an AR-10 or an LR-308 but not both. I have ordered parts that said they were for an AR-10 and they were not, they were for an DPMS Grrrrrrrrrr. But some part do interchange, such as muzzle brakes, sights, triggers.
edit: Just looking at the Panther Nato Oracle on DPMS's website and it looks fine for hunting with the proper sights and or scope. It is a 16" barrel and some may say go with a 20" or so barrel but unless the target is beyond, lets say 400 yards, it doesn't make too much difference, you will get a little more bullet drop but within 400 yards it may or may not effect you too much, and most hunting seems to within that range. Muzzle blast is increased with a 16" vs a 20" barrel so you may want to take that into consideration. But a 16" barrel helps keep the carry weight down.