Regardless of the purpose of the LLC, if it is organized under the laws of the United States or of any of the States, it is a U.S. Person as noted by SARempress. As a U.S. Person, it cannot open a bank account without a TIN (or providing documentation that it has applied for one, if the bank's CIP will permit it).
The attorney's opinion notwithstanding, there are no exceptions to that rule.
John S. Burnett
Fighting for Compliance since 1976
Bankers' Threads User #8