Assuming you are an Employee (rather than an Independent Contractor), your out-of-town expenses while you are away from your Tax Home are deductible as 'Job Expenses' in TurboTax.
Make sure you ARE away from your "Tax Home", as Travel Nurses are often "Itinerant" or their Tax Home moves with them.
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https://www.irs.gov/publications/p463/ch01.html#en_US_2015_publink100033754">https://www.irs.gov/pub...>
You can use the GSA Per Diem for MEALS, but you can only use the ACTUAL expenses for your Lodging.
Unfortunately, the Employee Job Expense deduction is in a category that is limited to the amount OVER 2% of your income which will reduce the deduction. If you don't otherwise Itemize your deductions on Schedule A, your deduction will further be reduced or even eliminated.
As a side note, I don't see why a non-profit organization couldn't have given you a tax-free reimbursement. I suspect that they may not know what they were doing. However, I don't do much with non-profits, so I could be wrong about that.
