Finally able to get in here .....
It's deep and there is a lot of information so this is the Cliff notes version of the Cliff notes .

Paper is complicated . Seek out paper for the old matrix chain printers . Cut your patches length parallel to the curl length of the paper . Cut them with 45° tails of a length such that the tails butt on 2 laps and reach over the ogive and make the preferred base fold . Wrapping may be done dry , damp , or stick glued . Be sure the long end of the tail wraps under the base .

For smokeless you want the core .001-2 over the land dia . US 30 cal is .301×.308 so the core should be about .302 . Finish wraps should bring the OD to about .309 or throat dia . This is only a guide , I had good success with a .312 core in a .305×.3165 barrel that would slip a .321 in a fired case .

NOE made a Lyman copy of the NRA 301618 in both a .301 and .303 dia and 172 and 212 gr versions with and without a gas check shank .

The paper patch will polish your bore and bring it down to bare slick steel , eventually . It will take 50-100 rounds for it to really settle in an start to shoot well , sometimes it doesn't work out , sometimes it comes right together . With 25 rounds I took a 6.5×50 Arisaka from 42" sideways to 3" @50 yd with a 266469 sized .260 and wrapped to .269 dry . The barrel is hard to measure with the Metford rifling but it's close to .257×.268 but will chamber a .277 ...... It shot a .272 cast about as well in initial trial .

Use jacketed start data .
Don't be me weigh your cores make sure you're not loading a 27-130 in a 7mm with 130 gr data for a bullet that weighs 141 gr .
As the barrel polishes , think 2-300 rounds , charges may need to be adjusted to keep the patches breaking up .

Lyman moulds that are small say a 308191U will make good core moulds . It's supposed to cast a .308 dia in #2 but is under sized too , so WW drops like .307 .