Use teflon embedded lube on the ways and a very light smear of high pressure lithium grease on the rear contact points of the locking lugs. As mentioned, do not under any circumstance allow any lube to get between the bedding and receiver.
Your description is very minimal.
Have you lapped your recoil lugs to the receiver for at least 75% contact???? That's a big deal for any rifle you want to be considered more accurate than most.
Another thing to consider, is skim coating those bedding blocks with a good bedding compound. The fit on most of those prebedded rifles leaves a lot to be desired. They are made that way on purpose, to fit commercially available actions with their tolerances taken to heart. They must be able to accept the largest tolerance that might be made.
Hopefully this stock has a full action length bedding block as well. Not all do.
This rifle, is it a custom build??? Is the action trued??? Is the chamber straight or oversize to accept factory ammunition.
If you're looking for minute of coyote chest, out to 500 meters, that is a five - seven inch group at that range. That's only what the rifle needs to be able to shoot into at worst. Then of course there are your own personal variables, including heartbeat and breathing.
I've helped out several fellows that thought their new rifles would group all of their bullets into one hole at just about any distance because they bought a stock with a bedding block.
That's just the beginning of the project.
Once you have the stock, then you have to make it fit properly so that no inconsitencies can and will develop. Just a change in temperature, from the cab of your truck to a cold morning with a 10mph breeze can cause your stock to shift or the lubricant to freeze.
In the winter climates, I spray teflon onto the bolt after I've cleaned out all of the other lube. Used to use graphite but teflon is better and not so messy.