There's right much more to this but,in some ways you need to work it out yourself. Cpl things I will share though,if you really are trying to wring out the accuracy of cast rifle loads,WRT M dies.....
You owe your self at least,two custom spuds,with three not being out of the question. Forget what Lyman "prescribes". Try around .0015, almost .003 and very occasionally what Lyman's "might" be which is around .004" interference.
You gotta get really serious here;
You need to mic the rifle's neck. Not a chamber cast,and not reamer spec. Use an adjustable small hole gage(they can be inserted into an aluminum arrow BTW,to facilitate if the barrel is still mounted). These gages come in two varieties, round and square bttm. The latter,if you only can have one. The other thing you're checking here is an out of round condition on the neck.
Still thinking M die;
Once you have the actual neck ID,now you get to play with loaded round OD..... insert "neck turning" here,but hold this thought.... You now can start recording how the interfere #'s effect accuracy when presented with a change in loaded round neck clearance. A change in neck clearance,"MAY"(don't mean "will") require a change in M spud size.
In jacketed bullets,your neck turning effects this. Cast however,we can change bullet diameter,ALONG with neck turning,giving near unlimited control over clearance. I know that was a lot of info,just think about it. Without undue cost,think $1000+..... you're gonna be stuck with a jacketed bullet's diameter. But cast? Shoot.... we have almost a .003" range to play with. This .003" can,and does have a direct bearing on the interference fit that's gonna test out the best on target.
The next thing in this area that separates cast from JB;
These same/above clearances dynamically change when running,typically.... reduced charges. It has to do with bullet release. "Most" JB accuracy loads are running on up in pressure.... not always,but generally yes. Cast however has more on the table,so the way the bullet gets it's start/release when you factor in all we have to work with,not available to JB's..... means....
You can't predict nearly as well with cast what tension to run. So,once you've decided on what range of speeds your cast is going,play with the diameter to close up the loaded neck clearance a little..... then use your jam and tension #'s to fine tune it.
Like I started with.... much more to it(bearing lengths,alloys,tapered ogives,twist rates,etc) but,those are some of the considerations with spud diameter. Keep notes and good luck with your project.