We all know what magnetic levitation is good for, but using loudspeakers to float a tiny object in a small box?
But, if you were to put your "little retro rockets" on BOTH SIDES of the space ship, you could blow on the asteroid with the rockets on one side to deflect it and keep the ship on station with the rockets on the other side. That might work.
Or, if you could use the other idea I've seen somewhere to hit it with a laser from a distance, and make the laser powerful enough, you might be able to knock chunks off it and get the same action and reaction to cause a deflection. If this could work the big advantage is you don't have to go chasing after the damn thing just shoot straight.
What more could anybody want?
For mobile computing, if I need it, I just bought a Toshiba NB520.
Or, population will be so dense that a pandemic will wipe out 90%. Not that that would be a bad thing in the long run.