What about the 6632B?
It's redesigned from the A version, and quite cheap on the 2nd hand market.
And it would be quite familiar for you.
Its lowest sink current is -5mA, and its setting resolution is 2 or 3mA, readback accuracy being much more precise, of course, see pictures.
Additionally, it has a low current range of +/- 20mA, but is precise for low currents in the upper current range (+/- 20mA .. 6.66A) also.
I have chosen this B version, as I also want to do precise low current charge / discharge measurements on rechargeable batteries.
Frank