There are adapters for Ruger bases to Weaver mount which can be modified to fit Picatinny. I had a red dot mounted on my Ruger Safari Magnum (same Ruger ring integral bases) with this setup. It takes some work but it's doable.
Is life so dear, or peace so sweet, as to be purchased at the price of chains and slavery? Forbid it Almighty God! I know not what course others may take, but as for me, give me liberty of give me death! P. Henry
Deus vult!
Rhodesians all now
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