Recovery of iCloud /email/ password

Hello, so, I cannot for the life of me remember what my iCloud email password is. Yes, iCloud email, not Apple ID, not iCloud storage.

I have full access to my Apple ID and iCloud storage via my phone (I own a Dell laptop, not a MacBook), but I can't access my iCloud email because I can't remember its password. To clarify:

Apple ID: myname@gmail.com (I remember it perfectly, have access)

Password: example123 (I remember it perfectly, have access)

iCloud: myname@icloud.com (I remember it perfectly)

Password: ??? (no idea)

I tried iForgot. A MONTH AGO. I'm talking early December 2016. It asked me for my trusted phone number, I successfully gave it, I got a code on my phone, I entered it on iForgot, it all seemed to go great. It said that the account recovery could take a few days. It's been a month. Nothing. Nada. This is absolutely ridiculous. I obviously have access to all the other features. I obviously have access to the phone. I just want access to my email. How can it take longer than a month to reset a password? No email in the history of emails has taken longer than a month to reset a password. I don't have an Apple Store close by (not unless I drive for hours and hours). So...???

Any idea on how to solve this? Do I just say bye bye to my iCloud email? I have things set up on it (namely, a twitter account, a facebook account, some work emails).

Thanks.