Yes, There are a couple other good options.
I quit using google chrome because it tracks too much of what you do and adds it to your google account history, it was caught installing audio listening software in the background, and installs a google update service that is hard to get rid of.
Firefox has also become bloated with crap and tracking software, and crashes too much for me.

The decent alternatives are:
Palemoon - https://www.palemoon.org/ - it is a fork of the firfox code that leaves out a lot of the tracking and adware, and is much faster than regular firefox now.
Waterfox Portable - https://www.waterfoxproject.org/downloads - another open source firefox fork, but this is portable. To get rid of cookies and weird browser settings changes, you can just delete it and uncompress a new install in seconds.

The most security and privacy conscious browser is Tor Browser. https://www.torproject.org
~But it does not work well with steemit.~
If you really want safe browsing, ask the steemit website guys to test Tor Browser and make sure it works.
Edit: Fixed now! You can login safely now, and posting works. Just remember to disable noscript to post