Just an FYI, I have used the Williams quick convertible mount for the Savage 99 to solve the exact problem you have with no issues. As long as the front two holes are drilled correctly, which the two rifles I have used this on were, you can bypass the back two misaligned scope mount holes and use the factory Tang Peep sight hole further back on the receiver tang as a bolt-on and it covers any mess made with misaligned holes. With low rings, you can mount the scope super low that is quick-detach, and have a very nice backup peep site that screws into the rear ring mount. It maintains the vintage look and works well. The two rifles I am using these on literally look like someone used a hand drill and eyeballed the rear two holes. I bought both of them super cheap because of the rear scope mount hole mess. An awful thing to do to otherwise nice rifles.
You can find them fairly easily on ebay and other internet sites with some patience and time.
This is what it looks like:
https://www.gunauction.com/buy/11440104