The Remington CDL would make a fine rifle in a 30-06.
I have also been hearing good things about the Ruger Hawk Eyes, but I have no first hand experience with them.
Don't overlook the Browning LH rifles. They are a great choice if you want synthetic stocks or SS rifles. And they have some larger cartridges available.
I have a Browning hunter model in the 300 WSM(LH). It is a great rifle. I also have a RH Savage 12 in a LH TH stock in 300 WSM that is a great rifle. It makes a great long range rig with the heavier barreled action and larger stock(flat forearm). Tom.