I know this post is old, but I found a nice way to unclog dragonfly style hotend with the heat break clog without disassembling anything.
Heat up the hotend to max temp.
Remove the bowden tube, and place a tiny allen key inside of the heat break against the clogged material (it must be touching the clog).
Take a soldering iron and heat up the allen key, try not to let it touch any plastic material around. After about 10-20s of heating up the allen key (carefully adding some solder to the tip about halfway through) I remove the key and place a needle in from the top and it went all the way through, moving it up and down to remove as much material as possible.
Then I put back the bowden tube, and pushed some filament through. I returned the temp to appropriate level for the filament ~200 (PLA) and extruded a bunch (like 50cm).
After that, turn off the hotend and all was back to normal.