I don't think Styler is intended for this type of layout. The simplest trick I can think of would be to use Source Edits to set a flag when the table begins/ends. You then add a "column reference" and detect if you're inside a table at the top of an even page. In that case you output a page break <?re 2?> so the even page is left blank.
Implementing this would need knowledge of APP's Javascript FOM.