Even better is setting your editor to run JSHint when you save a .js file, and let you know if there are problems. Not only does it avoid stupid bugs, it saves time round-tripping to the browser for trivial issues like syntax errors.
Sounds like a good idea. I know emacs flymake mode can be set up to underline problems detected by jshint. Personally I like to have the tests and jshint run by a hotkey so I can happily move the code through invalid states (towards a valid goal) without being constantly complained at :)