Thank you for your additional information.
Because this is not temporary employment, this would be considered your tax home, and the rental expenses are not tax deductable.
Regardless of where your "permanent home is", that is where your family is and where you travel home on weekends, that fact that you are living and working in Cayuga county makes it your "tax home", and the expenses are not tax deductable.
The example from the IRS website:
Generally, your tax home is the entire city or general area where your main place of business or work is located, regardless of where you maintain your family home. For example, you live with your family in Chicago but work in Milwaukee where you stay in a hotel and eat in restaurants. You return to Chicago every weekend. You may not deduct any of your travel, meals, or lodging in Milwaukee because that is your tax home. Your travel on weekends to your family home in Chicago is not for your work, so these expenses are also not deductible. If you regularly work in more than one place, your tax home is the general area where your main place of business or work is located.