I think the best thing to do is to remove the Enochian gate to cast Fire and Bliz IV but keep the ability and mechanics to maintain a damage boost.

In other words, you can cast Fire and Blizzard IV any time but need to follow the Enochian rotation to keep your 5% magic damage up, maybe even increase it to 10%. This way you always have your full arsenal but rewarded with a buff for skillful play.