As a recipient of inheritance - you do not need to claim it as income. Regardless of the value.
Please see for reference IRS publication 525 page 31 left column -http://www.irs.gov/pub/irs-pdf/p525.pdf
Gifts and inheritances. In most cases, property you receive as a gift, bequest, or inheritance is not included in your income.
The fact of receiving inheritance from a nonresident alien is separately reported on form 3520 - http://www.irs.gov/pub/irs-pdf/f3520.pdf.
In general, Form 3520 is due on the date that your income tax return is due, including extensions - but it is filed separately. There is no tax associated with that form.
The fact of transferring the money is not taxable and is not reportable to the IRS - I already mentioned that above - so nothing to worry.
The bank does report transactions of $10,000 or more - but only cash transactions - not transfers. Here is the reporting form - http://www.fincen.gov/forms/files/fin8300_cashover10k.pdf
You may review for your reference - but based on your information - that should not be your concern.
Your bank is required to file a Suspicious Activity Reports (SAR) with the Financial Crimes Enforcement Network (FinCEN), a bureau of the U.S. Department of the Treasury - to report known or suspected criminal offenses, at specified thresholds, or transactions over $5,000 that they suspect involve money laundering or violate the Bank Secrecy Act.
To prevent possible reporting and if you think that your transfer might look suspicious - I suggest to contact your banker - and provide all information about the source of your funds.
So far - your worries seem as overreaction - and there is NO any additional tax liability.
But still you might want to contact your bank and inform them about your transaction.