Most true tire balancing stands, which are often a combo with a truing stand, do not rely on the motorcycle wheel bearings, as in my mind you'll never get it done with them.
A balancing stand has high quality low resistance bearings that you set the axle on. There is no spinning required, the wheel just roates on its own. Such stands are relatively cheap, $99 or so.
But to your problem, I agree it is usually not tire balance but an unresponsive fork. Forks become sticky with lack of maintenace (decrepit old oil, etc) and cause pogoing.
Though you have to resolve the balance issue.