Maybe you could try installing ClassicWB, there's a pack specifically tweaked for 2MB A600s with Kickstart 2.
http://classicwb.abime.net/classicweb/gaae.htm
I highly recommend a Kickstart ROM/EPROM upgrade to 3.1, and a 2MB or 4MB PCMCIA SRAM card, which will speed up your A600 as well as give you some easily swappable extra RAM.
Here's a screenshot from my A600 which has Kickstart 3.1 and a 2MB SRAM card.
