I did the first one (drawing posted earlier) out of a single chunk of aluminum.
This one has the advantage the weight is near the center, to hold the disc down, but does not add significant rotating mass, since the "clamp" bit is thin aluminum. It still ads weight to the bearing however.
Maybe having more mass at the periphery is desirable (more flywheel effect) , but I don't have a way to dynamically balance it anyway, so this seems to simply hold the record down, which is/was the idea.
I have some scrap tungsten- I could add a bit of flair (and mass) to the center of the brass...
EDIT: make the lower bit out of plexiglass! Then you can read the label while it's on!