The reason a readonly RichTextBox doesn't scroll is because the default template for RichTextBox uses a ScrollViewer instead of a ContentControl. So to solve the problem, you need to create your own template for RichTextBox.
What I did was to create a copy of the RichTextBox template in Blend, and strip it down for the readonly case. This removes about 90% of the template. The following style/template remains:
<Style TargetType="c:RichTextBlock">
<Setter Property="IsReadOnly" Value="True" />
<Setter Property="Background" Value="Transparent"/>
<Setter Property="Template">
<Setter.Value>
<ControlTemplate>
<Grid x:Name="RootElement">
<Border x:Name="Border" CornerRadius="0"
BorderBrush="{TemplateBinding BorderBrush}"
BorderThickness="{TemplateBinding BorderThickness}"
Background="{TemplateBinding Background}"
Padding="{TemplateBinding Padding}"
>
<ContentControl x:Name="ContentElement" IsTabStop="False" />
</Border>
</Grid>
</ControlTemplate>
</Setter.Value>
</Setter>
</Style>
Use this style/template for your readonly RichTextBox'es, and you should be good to go.
Goood luck,
Jim McCurdy
Face to Face Software and YinYangMoney