Cool it, guys ! He's not an 'Engineer', so he's warily feeling his way through unfamiliar tech and terminology towards constraining the problem. Iteration, innit ??
So far, if I've read it correctly, he needs a bucket of 'dense liquid' at ambient temperature and pressure. Sounds like a 'separation by density' process, or one of those 'crazy layered cocktails' beloved of 'General Science' courses. And, reading between the lines, due regard for environment, so no persistent toxins like Chloroform (CHCl3) or 'Carbon Tet' (CCl4)...
Liquid mercury is the obvious winner by density and, IIRC, vapour release may be *mitigated* by a slick of silicone oil. Still, it is far too easily mishandled, so safety assessments, procedures and monitoring may mire the project in administration. Oh, and blood tests, too...
Barium-based drilling fluids have their own issues. Yes, hospitals may use 'Barium Meals' as gut tracers, but such does pass. IIRC, disposal remains an issue...
Ferrofluids have the happy knack of being 'switchable'. Altering mark/space ratio on their energising electromagnet may allow proportional control.
Hmm. Would a 'fluidised bed' serve ? Wet or dry, that's mature tech.
A tangential notion: 'Poured ballast' ? On a small scale --Model boats ?-- the traditional recipe was lead shot in a careful mix of sizes to provide void filling. IIRC, non-toxic Tungsten beads now fill that niche, available from specialist 'Hunting, Shooting & Fishing' suppliers...