Solids in vacuum service?
I can think of a couple of possible solutions:
Perhaps a dual pressurized seal might be in order.
The dual seal with a pressurized reservoir would help to ensure proper lubrication of the seal faces with nice clean fluid instead of air and solids. Depending upon how worried you are about diluting the gypsum this might work better than a Plan 32 because the volume of fluid required to keep the faces clean would be significantly reduced. A rotating metal bellows platform might also be a good idea.
Another option is a set of segmented bushings. Two bushings with a gas injected between them at a higher pressure, say air or nitrogen, or maybe even steam would contain the gypsum, would not clog, not have any moving parts, and could be much less expensive to install. I know that this method has been used in grinders, dough mixers, and a number of other applications with similar media.
To be sure, I'd take these ideas and run them past your trusted vendor with specifics about the mud including solids concentration and viscosity, dimensions for the seal chamber and nearest obstruction, as well as your budget constraints.