If you want to go the non-traditional pathway, there are barrel bedding compounds available. They are rather thick epoxy compounds, and can be obtained in some different colors. You WILL have to liberally wax everything that will come into contact with the stuff, and use clay to fill any voids or holes, such as the holes in the barrel hold-downs. If you miss waxing a spot, well, you have just permanently mounted your barrel to the stock. A little bit is often used at the breech of modern weapons to help manage recoil splitting the stock. Use with great care.
Oh, believe that either Brownell's or Midway USA have videos and written instructions on the use of the bedding compounds.
Hey, it's your first build, use it as a learning experience. Just have fun, and enjoy shooting it in the years to come. You can always build another - I think 99.9% of us have not been able to stop at just one.