Dunno if its already out, or its going to be released soon but... here are more info of this novels.
http://anime.miao.us/archives/2007/05/16/1067/

And the Mai HiME manga totally deviates from the anime... its not an adaptation. Its another universe.

Mai was a HiME at first, but sold her soul to the Obsidian King (or whatever his name) that was Takumi... Reito doesn't exist. She becames a legendary QuEEN alongside another two.

Shiho, Juliet and others aren't HiME... they are PRINCESS... HiME's created genetically by Natsuki's mom. Alyssa is one.

Nagi is a demon and is beheaded by Miyu.

Tate was forced to leave Shiho when she was raped in front of him.

Haruka is a HiME.


So if Destiny is a direct sequel of this HiME... it won't get animated loyally.