"I have no idea."會比較常用同common。比"I don't know."較有禮貌。
而你所提出的應該是"come across", 意思是被理解;被傳達(be understood or communicated)
eg. He spoke for a long time but his meaning did not really come across.
他講了很長時間,但他的意思沒有人真正理解。
所以don't come across不能表示不知道。
比較"I don't know."同"I have no idea.", 我個人認為"I have no idea."較普遍。