Tableau has display filter which is not filtering underlying data, but only filter display. Filtering the View Without Filtering Underlying Data | Tableau Software
But combine this filter as date range filter is quite troublesome.
So I recommend that you use two parameters as start and end date.
Unfortunately your solution did not work for me, I believe it is because in my actual workbook the field "Brand Interactions" is an aggregate of measures from four separate data sources. Do you have any insight on how to make that work? I've tried to create a Date Range boolean, apply it to the filters, and then use Min/max[Report Date] but that failed to work.