Pachmayr and Weaver are the only ones which come to mind that use four screws, but they don't match that pattern. However, Griffin & Howe mounts can be had with blank bases which can be drilled to fit any hole pattern.
I don't think you will want to leave the receiver sight arm in place while using a scope, however. The advantage of a side mount is that it allows a scope to be mounted low enough so that the line of sight remains the same as with the receiver sight. A "see through" mount raises the sight line to the point that the face is no longer in firm contact with the stock.
You would need to replace the Williams receiver sight with something like a Lyman 48, which has a slide which can be removed and replaced without a change in zero.
Here is a pre-War G&H Springfield sporter with the type of high mount you are referring to.
This is the more modern version of the same mount, with the scope mounted low enough to take full advantage of the side mount's characteristics.