Only one I've actually seen quoted is for a Blinky at 50ma. But I just noticed this spec in the Hyperion manual for their NET3, DUO3, and SDUO3 chargers -
"Built -in Hyperion LBA10/300 Balancers with 300mA max balance rate per cell".
It would appear that the LBA-10 balancer has a 300mA max balance rate.