AFAIK the K2182 has both some analog and digital filtering. The analog filtering is fixed frequency and normal exponential settling. So it take a relatively long time to fully settle and it may thus not be a good idea to use it with modulation so fast. The digital filter is usually a simple running average filter. If the data are send to a PC anyway, one could as well do the averaging later on the PC.
With > 1 Hz modulation, one may consider to use the non AZ mode. This gives faster readings. Depending on the frequency the noise can be lower: the AZ mode wastes about 1/2 the time for reading a zero, but ideally suppresses 1/f noise this way. However with many Keithly meters the 1/f noise suppression does not work so well in all cases. So using non AZ mode may be attractive if one is interested in the modulated part. In this case one would not mind a slow offset drive.