Thanks for the replies. I had a hunch I would be ok by just mounting. The only time I would anticipate anyone needing to see the serial number will be when my heirs sell it as part of my estate. In the meanwhile, I intend to shoot this rifle regularly until then.
My definition of Gun Control--- A steady grip and hitting your target.
"In God we trust, all others are suspects."
"If I shoot all the ammo I am carrying, either I won't need any more, or more won't be of any help".