Q: I just wish to change my password for my iCloud email....NOT my Apple ID.

I don't use iCloud email, but I found this with a Google search.

http://email.about.com/od/iCloud-Mail-Tips/fl/How-to-Change-your-iCloud-Mail-Pas sword.htm

I don't use iCloud mail aliases  either, but MY Google Site search of " change icloud email password site:support.apple.com " seems to indicate that your Apple ID password IS your iCloud email password...

iCloud: Change your password - Apple

Jun 11, 2015 - Your Apple ID password protects the privacy of your information stored in iCloud, such as your email. Your password also protects your ability ...

I Think that you are correct and if you click on the link that I provided, i believe that it just mimics the same steps that Apple's support article describes.

[heh heh] - just thought your lowly status could use some "Apple" back-up (... AND... it seemed such a waste of good Goggle Search time not to post  something !! )