This is too many words and there's not even a reasonable acronym to make up for it. Having a project that people can't easily refer to will not the project not as successful. How about a play on Blue Button, like: Periwinkle button or violent, indigo, ultramarine, sapphire, teal button. If you could figure out a shades of blue that started with the letter B, you could possibly keep the BB acronym (Carin-BabyBlue?) Alternatively, something simple and meaningful, like "Claims for Patients" or even politically motivated like "Paid Cost Transparency IG".

Existing Wording:

Consumer-Directed Payer Data Exchange Implementation Guide