Did you try to recover your google account with text message option?
It is possible only if you verified/added your mobile number to your google account, this looks simple way but it only work when you have the mobile number added.
Or else waiting for the help it the only way as you said it may take upto 5 days but still you can recover it.
The best option is to have two mobile added and generate back up codes and seal it in a vault and memorize your password don't include your password to the backup codes keep it separated in case of a breakup, and the most important thing is if you are going to ask Google to help you access your account again remember the first day you created your account because they will ask it in the verification procedure.