New Scope Recommendation

If I go with the Sightron SIII 10-50x60 what rings would y'all recommend?

I have a Savage 10fcp-k in .308 accutrigger, accustock.

I currently have a Bushnell 3200 tactical 5-15x40 mounted in Burris XTR low rings.

I'd like to keep the new scope as low as possible and I like the XTR rings.

The Sightron has a 30mm tube vs. the 1" tube now so I'll obviously need new rings.

I guess my main question is what height rings will I need in the XTR 30mm?

The current clearance between the front of the Bushnell and the barrel is approx. 5mm. See pics.

If I do a quick calc, in my head I'm thinking that the difference between the 40mm Bushnell and 60mm Sightron is 20mm, that's 10mm more per side. I have 5mm clearance now so the new rings would have to be 5mm higher for this just to work. From the Burris website, it looks like the mediums are 1/4" (6.35mm) taller than the lows so I'm thinking medium might be ok. Does that make sense or am I completely wacked?

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