This is a strange question. Is this the Bank formerly known as Prince?
I'm new to advertising/marketing compliance but it seems strange you wouldn't have your name on a billboard, flyer, etc. In any case § 328.3(d)(5) states that if the advertisement does not set forth the name of the institution it would not be required.
That being said, I wouldn't want to make the case that your logo doesn't include your name so you don't need the disclose (as a symbol meant to be recognized by people and associated with the bank).
It doesn't take much space to just put "Member FDIC" at the bottom corner. Is your Marketing department fighting you on this?
§ 328.3 Official advertising statement requirements.
(a) Advertisement defined. The term "advertisement," as used in this part, shall mean a commercial message, in any medium, that is designed to attract public attention or patronage to a product or business.
(c) Use of official advertising statement in advertisements--(1) General requirement. Except as provided in § 328.3(d), each insured depository institution shall include the official advertising statement prescribed in § 328.3(b) in all advertisements that either promote deposit products and services or promote non-specific banking products and services offered by the institution. For purposes of this § 328.3, an advertisement promotes non-specific banking products and services if it includes the name of the insured depository institution but does not list or describe particular products or services offered by the institution. An example of such an advertisement would be, "Anytown Bank, offering a full range of banking services."
(d) Types of advertisements which do not require the official advertising statement. The following types of advertisements do not require use of the official advertising statement:
(5) Advertisements not setting forth the name of the insured depository institution;