I would not run the lowest you can go. I currently have the Badger Medium High (1.125" to center) rings and they are too low for the stock. I had to re-work the cheek riser to make it lower than it can possibly go (with no AI spacers) to get my eye in the correct place. The days of getting your scoop as low as possible is old-school thinking when hunters needed to get a cheek weld on stocks that were not adjustable.
If it were me, I'd look at the higher rings that are about 1.4" to 1.5" to center.