How to go around State EIN Requirement when filing w2?

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You'll need to contact your state agency to have your State EIN to send your W-2 forms. Once verified, you can click this article to see detailed steps on how to add your state account number: 

1. Sign in to QuickBooks Online as the Primary Admin.
2. Go to Settings ⚙, then select Payroll Settings.
3. Next to your state tax, select ✎ , or if you need to add your local tax account number, select your state local taxes link.
4. Enter your Withholding, Unemployment Insurance, or local tax account number.
5. Make sure your deposit frequency and any tax rates are added.
6. Press Save.

Also, to register for state EIN or account number, 

• See the questions below the state EIN field on the State Taxes page of your payroll account for contact information specific to your state.
• State registration forms are available in our product by going to Taxes & Forms, then choose Employer Setup.

Once we have your account numbers, go to Payroll and select Overview to review and complete any additional tax setup tasks such as e-sign authorization forms, register Intuit as your third-party administrator with your state, and connect your bank. To learn more about this one, check out this article: Add or change your payroll state account number. 

Here's an article that provides details about what a state employer identification number is, and how/where to obtain one: Set up employees and payroll taxes in a new state.

Please let me know if you hit any bumps along the way so I can assist you further. Always take care and have a nice day!