The only way around the pattern code if you cannot remember the code is to reset via Google/Gmail. If you cannot remember that information then you will need to do a factory reset on the phone which will wipe it clear.
Unfortunately, there isn't. The alternative to forgetting the pattern lock is to unlock it through Google/Gmail which you are not able to do.
I understand that you do not want to wipe your phone but that is the only option available.
I have provided you with the options that are available (Google/Gmail reset and Factory reset). Unfortunately, you do not want to do the factory reset which means there is nothing more that myself or any other tech can do.
Have a great night!
Thank you for your time