Factory reset a rooted 4.4.4 and lost the keyboard I factory-reset my Android 4.4.4 phone and lost my Swiftkey keyboard, which upon installing originally, I erased the standard Samsung keypad.

Now only only voice is available, and I cannot get into my Samsung or Google accounts to get things going again, because saying a password is impossible. All I want is access to a keyboard. What can I do?
A factory reset removes user apps and data, leaving the system partition alone.  It sounds like you removed the system keyboard and had a user keyboard erased.  You could sideload a keyboard with adb or something, but based on your comment that the OS is not working in general it would probably be better to flash a ROM (presumably whatever ROM you're already using, whether the original software or a custom build).