They would probably add a barber / option to remove facial hair in such a case. If not, i believe there's an onslaught of JRPGs that fit your wishes, given that in JRPGs having a beard and/or being over 25 means that you're an old person with lots of experience and probably back issues. ;]
Also, if people still argue that Link is an avatar character, my Link needs to have a big ass beard! ^^
But Bonejack, we two aren't the Links of the JRPGs.
We are, like, the "It's dangerous to go alone!" guys from the OG Zelda, but with thicker Germanic language accents.