Im just not a 308 fan. I Rather have 7-08 or 270.
Lighter bullets with ttsx as other said speed kills using those.
They don't shed weight like lead. Plus with 308 I wouldn't go heavier.
130 ttsx in 270 and you can go much flatter and longer
Or 708 in 120/140
Also get a tikka if you really want practical and reliable.

All of them do something better than the 30-06, but none of them do everything as well.