Your calling them LEUPOLD rings. Leupold makes rings to fit weaver bases, Redfield bases and there own quick release bases.
I'm thinking your thinking of the Redfield style of mounting system. These have two opposing screws for a windage adjustment in the back and a turn in ring up front. is this what your asking?
If so, no there is no one making this style base for a handi. At least non that I know of.
CW