I think I'll start with Mrawsome's idea. If that doesn't work, I'll move to either the graphite lube or carbide expander.
I have polished expanders, but find I still need lube.
I use a lot of OneShot. It dries smooth and non-stick. It works for my case mouth lube too. I lay them in two foot rows and spray them inside and out, let them flash for a second, then roll them to the other side and spray again.
I also don't clean it off, saving that entire step.
I have lubed necks with graphite, too.
Buy a small bottle of Loc-eze graphite lock lubricant, NOT a one pound container of powdered black graphite for seed spreaders and planting equipment! Unless you are lubing necks for a small army of precision shooters...
Put a throwaway towel down when opening the silvery blackened container, and a small one under its place on the bench.
Vacuum any black spills, full well knowing that any attempt to touch or wipe the black spill will result in a HUGE, black, shiny, and very slick, smeary black stain on the floor forever and ever.
Despite scrubbing the black abyss with soap and water, it will blacken the sole of your right house shoe when standing at your press and will result in getting a bamboo vinyl flooring remnant to "sweep it under the rug" with.
All while, impossibly, it keeps getting bigger.
Ask me how I know this...
Further, not that it is a huge amount, but that graphite is blown out into the firearm.(More mess.)
Frankford has a nylon brush-in-a-box for dry lubing necks, I like that better than getting it on the outside of the case too, as with the bbs.
I like Mica instead of graphite as well.
It isn't any cleaner, just replace "black" with "sparkly white" in the product description above...
It's a little less easy to see when you spill some, so wash your hands before touching your face or clothes, or someone will ask why you have make-up on you.
It does seem to clean up better, a little. Don't spill it.
I think the Motor Mica is a bit finer than the graphite I have. I would think the Lock-eze would be very pure too, but prefer "white graphite".
If you needed any I have 15.9999 ounces of a sixteen ounce container I could send you.
A little goes a long way!