How clean a powder burns may depend a little on the load and cartridge its fired in, I think.
Beyond that, some of the newer shotgun and handgun powders are cleaner - I believe the Hodgon Clays series of powders are pretty clean, possibly some of the newer Alliant handgun powders too. But I'm a bit old school and have an aging powder supply so I use what I have. H110/ WW296 burns pretty clean in my 41 mag and I think that's a powder for the 30 carbine as well. You might go to Handloader Magazine and look up their Propellant Profiles articles for 30 M1 appropriate powders and see what they say about them.