You have at least two options. If possible, you could cash the check at the bank the check is drawn from. You would need to show proof of your identity, proof of the trust and proof of your appointment as successor trustee.
Or, you must open a bank account in the name of the trust. If your trust receives checks then it needs a bank account. You would need the same proof as stated above to open an account. The bank would probably hold the check until it has cleared since you don't have any other trust funds to deposit that would cover that check.
When assets are placed in a trust you must follow the provisions of the trust and trust law when dealing with the property.