If your Mac is stuck on snow leopard, none of the big three browsers will update to the latest version. If you want chrome, I think version 33 is the latest one that works. However, it's lacking the latest security patches.
I would suggest updating os x to the latest version you can run so that you can use a fully patched version of chrome. Provided you are running key applications that are dependent on snow leopard. At which point you have a dilemma.