I think you don't have enough access to the intermediate
nodes, to do a good job on the filtering using the AD620
itself. You could low-pass both of them to ground,
beforehand, though. Maybe scrounge a common-
mode choke out of some dead power supply's line input
path, but that might roll off too much of the desired signal
as well (?).
Can you see with a 'scope, whether the amplifier is being
bothered by the noise (like you get more noise out, than
the difference-noise would make you expect)? If it's not
producing nonlinear behaviors then maybe an output
bandpass would be easier / cleaner.