Hi Bojan,
You said you have tried a few types so far,
Have you tried UHT-EP grease?
It's high temp, wheel bearing type grease but I call
it 'Sticky grease'.....it's high viscous and sticks to
everything!

It makes a loose tolerance sleeve become 'grippy' and
sticky.
I used it in my Bartels stepper drive in the first few
gears in the reduction drive to kill completely a harmonic
rattle that I had at sky rate.
It would bind up a lens system the way you want, I'd
say.
regards,
Steve B.