The load that I have had the best performance, both on the target and the chronograph is a 165 gr. bullet, and 'around' 57 gr. of IMR 4350. I bought a thousand of the Remington 165 Core Lokt bulk bullets from Midway a couple years ago, and have them all loaded up in a mix of commercial and military cases, and they shoot as well as anything else I've tried.
I note that you prefer ball propellant, but I've just not had good success with them in the .30-06, and my best .30-06 loads use 4895, 4064, and Varget with bullets up to 150, and 4350, 4831, and RL22 with 165 gr. and up.
With the shooting I do, I'm coming to appreciate Varget more and more, as it is not nearly as temperature sensitive as other powders, meaning my shots don't climb up the target in the rapid stages of the Garand and '03 matches I've shot, and it doesn't lose anything on days like today where the thermometer dips to around -5 degrees with a breeze. I've not used it with bullets heavier than 150 gr. though, as the slower burners give better velocity with less pressure, at least in my experience.
Your results may vary........