Here is a tutorial that will come handy one day, in the moment of panic – How to Recover an Unreachable Linux Instance. It has plenty of screenshots and shows each step in detail.
TL;DR version:
- Start a new instance (or pick one from the existing ones).
 - Stop the broken instance.
 - Detach the volume from the broken instance.
 - Attach the volume to the new/existing instance as additional disk.
 - Troubleshoot and fix the problem.
 - Detach the volume from the new/existing instance.
 - Attach the volume to the broken instance.
 - Start the new instance.
 - Get rid of the useless new instance, if you didn’t reuse the existing one for the troubleshooting and fixing process.
 - ???
 - PROFIT!
 

