Almost any.308 will shoot this load - and I'll be shooting one along with you for this season in standard rifle class. I agree that the old .308 is no longer the ideal silhouette cartridge - but you probably won't miss any targets you would have nailed with a lighter caliber if you think about performance.
I'm betting that you'll be able to go up or down 1 grain of powder and that you'll be pleased with the results:
42.1 VV N140/150 SMK. This is a good low-recoiling load that will take you through the turkeys if you have a good rifle. It's also close to the recommended "accuracy load" found in the most recent Sierra manual.
From my 24" .308 it's running a little over 2500 fps.
I have two .308's that perform VERY well with this load.
For rams, I don't think there ARE any good loads for a .308 that don't kick a little, but one that comes about as close as possible is 44 gr IMR 4064/175 gr SMK.
If the above CPT load bothers you, kick the charge up one grain and try a 135 grain Berger, which should be good through the Pigs.
If you're an experimenter and don't mind having to weigh each charge - you can try IMR SR4759 starting at about 24 grains over any .308 match bullets you have from 150 to 168 grains. Some have had good luck with this approach - which simulates cast bullet performance.
Gringo