Whooo! I think it's a great thread to bring up!!!
Actually, I think beard styling and maybe even beard shaving was present at the time. However, I don't have literary sources- just looking through artifacts, which I'm posting below.
Warning, image heavy.
I think second from the right here might be beardless. I thought the smudge was a beard at first but I think it's just a smudge. Not sure about the guy second from the left, though. However, for comparison, Mr. Far Left has a spectacularly pointy beard.
Men with beards:
Men without beards:
This is either due to the stylization or that the men in reality had no beards.
There is no way that you can get facial hair like that without styling:
The terracotta soldiers, from an older period yes but if shaving was present then it should have been present during the Han. Some of them look mature but were oddly clean-shaven. They definitely were not boys, but they didn't have beards either:
'Statche yes, beard no
Possible mustache, beard no.
Wait wait wait I found an instance of shaving!
"Xia Fu [Zizhi]; Chenliu. A scholar when he was young, Xia Fu was honest and straightforward, and gained local reputation by his refusal to recognise powerful families of his county. At the beginning of Emperor Huan's reign in 147 he was nominated as a man of Direct Speech, but he did not accept.
At the time of the Second Faction Incident in 169, orders were sent for his arrest but he took refuge in the Taihang ranges, where he shaved off his beard for disguise and became the servant of a family of ironworkers."
I don't know enough to make anything out of this. However, if being beardless was that odd, he would probably have ruined his disguise by drawing attention to himself.
And a beard-related tidbit...
"Wen Xu exclaimed that even if he must die at the hands of such bandits he did not want his fine beard sullied by the ground. Stuffing his beard into his mouth, he fell on the sword."
Courageous and righteous yes. But man, between getting a bit of dirt in your beard and dying with a mouthful of beard...
Also, it seems that some Chinese guys really have trouble growing beards. Whereas one of my friends can sport stubble after not shaving for two days, another one of my friends... Uh, well, we call him catfish after the only two hairs that he can go. Go figure.