You may need to get them done on a road force balancer if the weights are chasing around that much. As long as they were mounted without excess runout you shouldn't be having problems getting them balanced.
A bubble balancer is going to mount the wheel the same way with a tapered cone, and it can only do a static balance. It won't tell you whether the weights should be in the inside or outside of the rim like an electronic balancer with dynamic balance can.
All balancers can and do lose calibration over time, and they are only as good as their operators. How far off are they in terms of weight? You may have one or more bad tires with shifting belts. That would cause the balance to move around a lot and cause vibration problems.
Do they sit for a long time? If they are flat spotting getting the tires balanced during that time will not be accurate since it will usually go away on its own after a good drive.