Hi Mark,
I have an Achromat on one 1210 and the Oyaide BR-12 - a less costly fusion of the BR-ONE and MJ-12 - on the other, and I prefer the Oyaide - the stereo image is a little more coherent. Buy you're correct that it's designed to be used with a weight/clamp, though this does the job perfectly for a fine price.
If the BR-ONE is designed to fit beneath the MJ-12 then it should fit within the lip of the Technics platter, and the material is quite tacky, so should do what you've suggested.