I spent a stupid amout of time hopping around, trying to shoot enemies after 360 spinning and they either killed me, or elemental damage eventually killed them. It was infuriating to say the least.
However, if you go to the
Triton Flats area, weaken a Shuggurath, and then attempt this, your day will be much happier. Shugguraths are huge, easy to aim at and move incredibly slowly.
After 30+ attempts on standard enemies, I got it in a single attempt on a Shuggurath.
In case you aren't good at degrees, 360° is one full rotation. I spun slightly more than one full rotation just to make sure I got it as opposed to accidentally only going 357° and not getting my trophy.