You can Install Pillars, Glass Bed the action and 1.5 to 2 inches of, the bbl's "Shank portion" with, Marine Tex or, Brownell's AcraGlas Glass bedding compound and Free float the rest of the Barrel but, you MUST "Hog out" ( using a Mill or Dremel ) a "Pyramid shaped" area, under the barrel to INSURE, Forend "stability" and sealed away from, the Weather ( I would Tape the Barrel from, the shank area, outward to "Free Float" the bbl. ) . I was a Professional Gunsmith for almost 30 years and did THIS method for, serious Hunters that, Hunted all over, the Western US, Canada, Alaska, Mexico and Mongolia. Bedded many, pre-64, M-70's, Weatherby's, Sako's, Mauser 98's and Rem 700's and ALL shot, MOA groups ( or better ), back in, the 1970's thru 1990's.
But you will need to find, a "good" gunsmith that understands HOW to, do this, work ! Probably gonna cost around, $350- $400 Today but, could run more ! Start asking for, Wood Stock Maker, recommendations. Wood Stocks, were ALL we had, in those Days and they "can" work, FINE !
Also, make sure that, the Exterior Finish and Checkering is, "Sealed" well !
PS; you will probably need to find, an Older Gunsmith as, the young one's, just want to, Bolt on,.. a Plastic stock !
Might ask, Mike Bryant of, Bryant Customs, in Texas if, he knows someone or, if possibly, he can do, the work !
Good Luck !