It's been shown that it's the pressure of the rounds that correlates best with barrel life. That's assuming you're not shooting a fully auto belt fed weapon until rounds "cook off" in the chamber. Even so, it's still the erosion of the gases.
The rounds Cowboy 23 talks about were easily 60,000-62,000 psi. Your 35 Rem will not exceed 35,000 psi. Gas erosion potential is much, much lower.
It took him 5000 rounds before he lost confidence in his barrels to shoot below 1 MOA (barely larger than 1" at 100 yards). And then his used barrels were still sought after for his friends who were recreational shooters.
Whatever the potential accuracy of your present barrel, with reasonable care and no abuse during cleaning. More barelys are ruined by poor cleaning techniques than by "shooting them out". (Use a bore guide, a good one piece cleaning rod, and clean from the chamber end.) I'd expect your 35 Rem to continue to shoot 1.5-2" groups at 100 yards well past 25,000 rounds and wouldn't be surprised if it were still doing so at 50,000 rounds.
May you shoot so much and live so long!