Unless you shoot thousands of rounds a year or you shoot a 100 rounds at a time in a short period of time every range trip, you aren't going to wear your 30-06 out.

FWIW, high power rifle competitors shoot rifles that are more accurate than your hunting rifles, often chambered in 308, 223, and sometimes 30-06, in timed fire events where 50 or more shots are fired in about a 20 minute period (1/2 of them are fired in 10 shot rapid fire strings). The barrels on these rifles are usually good for 5000 rounds or more of accurate shooting.