Castlevania and
Miracle of Almana had the same composer, Kinuyo Yamashita. In 2004,
Family Computer Best Collection Vol. 2 (EZCD-0008) was released, and track 16 is a remix of the song from Stages 1, 4, and 6:
I first heard the remix in some homebrew game's soundtrack. It took forever to ID and even longer to find a download, but it can be found at The ISO Zone bundled within "FAMICOM: 20th Anniversary OST Vol.1,2,3 + BONUSES".