I have a Marlin 336 in 35 Remington that I like a lot. 200gr projectile can be effective on elk as well.
A good friend shoots a Savage 99 in 300 Savage, but you can also get those in 308. They have a rotary mag instead of a tube, so you don't need to shoot soft point bullets.

I've had thoughts of getting a 30-30, but I like the option of more power for closer range elk too.