If I had become a Zelda fanboy then I think I would never have done anything creative with that music.
Your remix sounds really good: Actually quite reminiscent of some of the "Trade test card" music I liked from the late 80s. Having never fallen in love with the original, my brain is quite happy with your interpretation! Well done.
I first heard the track late on during Super Castlevania IV as I only played the first in the series on the NES. But this captures a much toned down version of the pulsing track