One reason I said as a guide, was because I have the feeling the original poster is reluctant to use data that we readers give, even if common sense dictates it is absolutely safe. I suggested he look up in that manual, if he could, and more or less verify what some of us are telling him.
Also, you will see in their Lyman Handbook of Cast Bullets, at least in my number 1 edition, they bulk some calibres. They list together, 7.62 Russian, 303 British, 303 Savage and 7.7 Japanese, and use the same data for all of them.
The point here being, when using these light loads, it really doesn't matter much what cartridge you are using. 30-06 and 308 could be used interchangeably.
I say as a guide, because I am looking at a 30-06 with 170 grain cast bullet. Out of 16 loadings with 8 powders, the slowest velocity they show is 1510, with 10.5 grains of Unique. I started a son shooting my 30-06 before he started school. Of course, they can't put the butt to their shoulder, they just let the stock go under their arm. Undr these conditions there must be no noticeable kick to the rifle.
Therefore, looking at this load of 10.5 grains of Unique for 1510 fps, which is a lot too high, I would reduce the load to maybe, 6 or 7 grains. I would like the speed to be about 750 fps, and that amount of Unique should be pretty close. Hey, don't laugh at this load, it is like a 38 Special loaded pretty good!
Thus, loads from the book may not give you what you want, but look at it as as a guide, and go fom there.
The other thing about this Lyman book on cast bullets, it shows the maximum load of every powder and bullet combination. So, don't go above their maximum. When it comes to minimum, go as low as you want to, it is perfectly safe, with the standard precaution of seeing that your super light loaded bullets gst out of the barrel.
Sorry to have gotten caried away, but it is hard to properly explain things with a few words.