A serious reamer.
I lap to expose about 70% of metal just my 2 cents. And sometmes I don't lap at all !Lapping is for MINOR alignment adjustment. The problem with one piece base/ring combos is the tolerance stack between the base screw slots and the screw body. I will only use a rail for this reason.
The problem usually is with the action. Lapping rings help correct poorly aligned screws.I would agree with waveslayer. Nowadays most good rings are cnc precision made and don't need lapped.
I like Burris signature rings with the plastic inserts. If I get regular rings I'll buy them larger sized and a $10 set of inserts off Amazon. 30mm rings with 1" inserts for 1" tube works great.
Is Burris still making Signature rings? I haven't been able to find them locally.