Filter/Hide Group Header if Detail Section has no visible rows

My ObjectDataSource data is flattened as follows (simplified)

Year 1, Item 1, Attribute String {empty}
Year 2, Item 1, Attribute String {empty}
Year 3, Item 1, Attribute String {Some data I want to express as a detail record}

Year 1, Item 2, Attribute String {Some data to display for this detail record}
Year 2, Item 2, Attribute String {empty}
Year 3, Item 2, Attribute String {Some more data to display for this detail record}

Year 1, Item 3, Attribute String {empty}
Year 2, Item 3, Attribute String {empty}
Year 3, Item 3, Attribute String {empty}

I am grouping the data by item name (Item 1, Item 2, Item 3 in this example) and am displaying the item name in the group header. I would like to suppress group headers for items that do not contain any rows with an attribute string (similar to Item 3 in this example.)

I am able to suppress detail rows with empty attribute strings using conditional formatting Field.[Attribute String] = {blank}, Visibility = false.

However, I have not discovered how to suppress the group header.  Filtering the group header on Field.[Attribute String] <> {blank}, seems to only test the first detail row (returning only Item 2 in this example.)

Can anyone think of a way to suppress the group header for only Item 3 for the example data above?

Thanks in advance for any assistance you can offer.