@mitchden1 - tecnically, you would really need the EIN to have a bank account made out in its name with the Administrator (presumably you?) signing the application. Some of those checks could be taxable income to the Trust.
HOWEVER, the 'dirty little secret' is that the largest banks are so automated, it is unlikely they are going to verify who the check is made out to (assuming you deposit via your smartphone bank app or at an ATM); more likely the teller is going to check in a branch. So while not technically the correct way to go, you could avoid all the 'hassle' if you are at the right bank and just deposit it into your personal bank account and then distribute to beneficiaries as necessary. But I didn't tell you that 😊