Sister Chanda, I understand from your past posts in this thread that you believe the prophet (saw) had a beard.
I would like to request you to consider a hadith, which we Muslims have come across many times in our school books, " A mo'min always likes for others also, what he likes for himself" If the Prophet (saw) liked a beard for himself, he definitely liked it for his companions also, which is clear from the hadiths shared in the past. We all know each and every personal preference of a Prophet is not meaningless, but has wisdom in it.
So, something which a Prophet (saw) likes on his own face and hence likes on the faces of his followers (which is cleared from hadith), if a person is following it and bearing all the pains in his daily life to please the prophet (saw) and hence please the ultimate Lord (because a prophet doesn't say anything that displeases Allah) then how come we can say that beard is not** "at least preferable" **for a Muslims. Disconnecting it from the qualities of a good Muslim, is indeed not a good idea.
Again, I might be wrong but this is how I have felt after my sincere search for years.