A vibrating flat lap has one job, that is to grind and polish flat faces on sawn rocks, It is very manpower intensive, needs constant supervision, slow, messy and only is good at polishing large rocks, smaller light rocks and slabs are a waste of time without weights being added.
What do you plan to do with the flat lap?
A wet grinder could be the answer. It is sort of like a variable speed 4 inch angle grinder that is used wet with diamond pads on it.