I am not a lawyer.
Now that I got that out of the way, my understanding is if you ever get sued, proper separation of business and personal is very important. If you use your SSN, and the business account is in the same login as the personal account, are you really maintaining separate finances? A good lawyer will argue that you aren't, and how much are you willing to spend to defend yourself?
Make it easy on yourself, keep it separate. Your business account shouldn't be swimming in cash, so losing a couple dollars a year in interest should not be the driving factor here.