Here are a few options for getting an EIN without using your personal SSN:

1. Apply for an ITIN first before getting the EIN. As a non-resident, you can apply for an Individual Taxpayer Identification Number (ITIN) using IRS Form W-7. Once you receive your ITIN, you can then use that instead of your SSN when applying for the EIN online or by mail.

2. Apply for the EIN by mail using Form SS-4 and listing yourself as a "responsible party" but not disclosing your SSN. On the form where it asks for an SSN, write "FOREIGN" to indicate you are a non-resident without an SSN.

3. Have a third-party designee like your business partner, accountant, or attorney apply for the EIN on behalf of the business. They would provide their SSN or ITIN instead of yours. You'll need to complete Form 8821 to authorize them.

4. Apply for the EIN online, and instead of entering your SSN, choose the "responsible party" option and fill it out with your name and address, but do not provide your SSN.

In all these options, your personal SSN is not directly tied to the EIN. The EIN is really just for the IRS to identify your business. Let me know if any of these paths work best for your situation or if you have any other questions!