Can I make a WPF DataGridRow unselectable?

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WPF

DataGrid

I have a style on my datagrid to disable a DataGridRow based on a property binding. This makes the row unselectable, which is what I want. However, I am still able to select the disabled rows using at least 2 other ways. The first is if I use a dragging motion between two enabled rows that surround the disabled row. The second is if I click on the "select all" button on the top left of the datagrid. Is there a way to make specific rows completely unselectable?

This is what I currently have:

<datagrid.rowstyle>
    <Style TargetType="{x:Type DataGridRow}">
        <Style.Triggers>
            <datatrigger binding="{Binding DisableMe}" value="True">
                <setter property="IsEnabled" value="False" />
            </datatrigger>
        </Style.Triggers>
    </Style>
</datagrid.rowstyle>