Jerry,
You mentioned it has "bases". If these are attached with screws, Redfield/Leupold have blank bases that I've used and matched the contour and holes of the rifle into them. Then the standard Redfield/Leupold rings fit.

I suggest getting a Brownells harcopy catalog and browse the base and ring section for potential solutions. There are many makers and styles, possibly more blank base options than Redfield/Leupold. Maybe something with more Euro styling.