You can use "charlieplexing" with '595 function (not pin) compatible TPIC6C595 or STPIC6C595
formatting link
or
formatting link
with a drive capability of 100mA per pin (250mA peak).
If you want to mux only 2,4 or 6 lines use 74LVC2G79 which can drive up to
50mA per output. The second register of the '595 is not really needed for your application.MIKE