In theory, if you find the sweet spot, you won't see fouling.
Thats less theory, and more of a fact.
Sam and BDS seem to have this one mostly in hand.
I will add to the OP that if you do want to try different diameter bullets, one of
THR's most friendly businesses is more than hapy to do custom sizing runs if you are willing to buy 1k or so.
They often get requests for custom sizes- so you may have to wait a small bit till brad runs 'em through (given the current demand) but you will get 'em !
I would second the higher charge idea. Sometimes without enough heat, you don't get enough obturation, and your bullet "skates on the rails" so to speak, leaving the first line of lead and lube residue that cuts every bullet after it- and can lead to some ferocious leading.
While you are testing, if you are comfortable with it, you can run 1 or 2 FMJ's every 6 or 7 lead rounds and it will push the lead and lube fouling right out. This way you try a mag at one charge- get the fouling out after inspection- try the next mag at the next charge....wash , rinse, repeat.
Once you hit the magic load ( charge and if necessary bullet diameter) you should be able to tell in less than a magazines' worth of ammo. Bad loads will show within that time, so its easy to spot at the range, but hard to clean. I've used the FMJ method when dialing powder charges in with finicky bores before and it works fine.
As a caveat- shooting an FMJ into a bbl thats had 1000 of the wrong lead bullets shot through it, and is now very constricted will lead to some issues. Blowing out the residue of a handful, not so much.