ahhh...scope mounting on a #1. That's also interesting...
I found the old Burris Signature (and its Pentax partner) that had the adjustment knobs well forward about perfect. They had good optics for the day though a tad heavy. Still have one on an old 243 RSI.
I like to use the Ruger offset rings, unless the scope is unusually long, or is straight with no objective bell. One downside is they are only available in 1".
I used to use those as well but the mentioned scopes did not require them. They were pretty slick. Alas my #1 days have long been over selling what I had many years ago. I do get and itch for one every now and again though.