In spite of the fact that the IRS permits single-member LLCs to be considered "disregarded entities" that use the member's SSN as their TIN, I'll go dollars to Krispy Kremes that IRS does not create a name/TIN entry for the LLC that uses the SSN.
Accordingly, you will probably be guaranteed a mismatch if you complete the CTR "according to the book," listing the LLC in item 2 and then using the SSN.
The workaround that lists the individual's name and places the LLC name in item 5, although technically incorrect based on published guidance, at least avoids the name/mismatch report.
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John S. Burnett
BankersOnline.com
Fighting for Compliance since 1976
Bankers' Threads User #8