I don't know how LRP is set in the stock but I had same issue with my BTCSS when new which only has metal Pillars around stock-bolts.

Most of the "Off-Center" influence came from the TANG contacting one-side of the inletting behind the action. I gently removed some wood in this area with slight strokes of a dremmel-sander until I could run paper under Entire Tang when bolted-in without it pinching anywhere..

After that, Epoxy Bedded the whole action from trigger area to front of receiver and...HELD Barrel Exact-Center in Stock-Channel with some little Wood Wedges overnight.

Now it is a Straight as a Pin!