All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
If by the word "Adyan" you mean the Arabic word, then it is the plural of the word "Deen" [religion], and we do not know of any prohibition that prevents naming the newborn with the name Adyan.
However, we didn't understand what you mean by linking this name to the people of Aad.
For more benefit, please refer to Fataawa 82724, 87262, 88553 and 87596.
Allah knows best.