To get the achievement the easy way, I recommend getting Splinterfrost power (The Ice ability) from Shatterbreak, Super Nova from Vile Visage and most importantly Shadespur from Eteneral Star, before attempting to do this, the breakdown is like this:

Splinterfrost will help you deal with the horizontal and vertical flame turrets by disabling those permanently.

SuperNova will help you with any projectiles that you believe you cannot avoid and is a better guarantee than the Flame Shield power, (but is not a bad thing to acquire that for protection).

Shadespur disables Perforator clockwise and counter clockwise shooting ability.

Once you reach level 8 against the Perforator, use Splinterfrost first, then pay attention to the boss's always moving placement, if he is at the center, he will keep shooting vertically and horizontally either clockwise or counter-clockwise (This is in case you dont have Shadespur), if he places himself in any other direction he will aim it your location with rapid fire, and that's where SuperNova / Flame Shield or ANYTHING can help you vaporize his shots comes in handy. The achievement will trigger once you reach exactly 60 seconds, you can damage him enough so that you can kill him easily after getting it.