Find your rail on
their website, and confirm the height. I looked at a couple Remington ones and they seem to be 0.31", but you should confirm your exact model.
Just measured my 44 mm objective scope, and has a 51.5 mm outside diameter. Assuming your 50 mm has the same amount of extra metal, then it would be 57.5 mm outside diameter.
57.5 mm = 2.264"
2.264"/2 = 1.132"
1.132" - 0.31" = 0.822", which is the minimum ring height (to centerline) you'd need to clear the barrel.
0.822" = centerline ring height
Leupold appears to be giving their ring heights as centerline, so the Mark 4 Medium ring (0.84") theoretically will give you enough clearance.
I'd highly recommend measuring yourself though, as 0.02" isn't a lot of wiggle room.
Also, if you aren't willing to cut off your Badger Ordnance rail, as described above, you may need the high rings to get clearance between the front of the rail and the objective, depending on how far back you have to mount it for eye relief.