It took a little longer than expected but Dart Code v0.14 supports "debug just my code" to allow you to avoid stepping through SDK/pub packages when debugging. You'll be asked whether you'd like to enable this when first launching.
If the analysis server crashes you'll also be given an option to generate an error report you can easily copy/paste into the Dart issue tracker (thanks to +Devon Carew
Please do try it out and send feedback! :-)