Educator Expenses are not an itemized deduction for Schedule A, so you should be able to enter that without itemizing any other itemized deductions such as mortgage interest, etc.
TEACHER EXPENSES. EDUCATOR EXPENSES DEDUCTION
Go to Federal>Deductions and Credits>Employment Expenses>Teacher (Educator) Expenses
https://www.irs.gov/taxtopics/tc458
What "processing fee" are you referring to?
How can I see my TurboTax fees?
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REMOVE REFUND PROCESSING FEE
Yes, you should still be able to claim Educator expenses even if you did not itemize your deductions. The Educator Expense Deduction is an "above-the-line" deduction, meaning it can be claimed without itemizing
You can claim this credit by upgrading to Fee based TurboTax Deluxe: This version supports the deduction and will guide you through the process.