Then it's th C-Corp that files, not you.
See this from IRS
Who Must File an FBAR
persons are required to file an FBAR if:
the United States person had a financial interest
in or signature authority over at least one financial account located outside of the United States; and
the aggregate value of all foreign financial accounts exceeded $10,000 at any time during the calendar year reported.
United States person includes U.S. citizens; U.S. residents; entities, including but not limited to, corporations, partnerships, or limited liability
companies, created or organized in the United States or under the laws
of the United States; and trusts or estates formed under the laws of the United States.
The C-Corp is considered U.S person under title 26 and under the state corporate law
in your state.
Less obvious with pass-throughs
The C-Corp files, here, if the C-Corp owns the accounts and meets the criteria.