Steve,
I didn't understand you had that type base,most use the plate, dovetailed to a base.My advice wouldn't work in your case.
New England Custom Guns,has mount parts from Recknagle and maybe Ernst Apel Wuerzburg (EAW).EAW has a system to change from claw mounts to swing mounts, while keeping the ability to return to the original.This does away with the problem of having to select a scope with straight tube or very high mounts.These companys have websites.
Mike