Well that depends a lot on how you treat your gun. If you shoot it lots at the range without letting the barrel cool down and if you don't clean it then you will have a very short lived rifle. How ever if you look after it then there would be no problems getting at least 1500-2000 rounds out of it.
The barrel on my .257 was pretty well worn out when I got it and it does need replacing. However she still shoots one inch to one and a half inch groups with either the 110grn Hornady GMX or 115grn Barnes TSX projectiles in my reloads.
So Thayley, I say you go on and continue your love affair with that .257 accumark. But just keep her calm and not get too hot between shots and then give her a good scrub at the end of a shoot and she will see you stay happy for a long time yet...