American Theatre is a great source for conversations about productions, directors, plays, actors, etc. While not scholarly, it is analytic.
There's a couple of ways to get at American Theatre articles.
Issues available in Academic Search Complete--look for the "search within this publication" link to start a search: American Theatre
Or you can find some free content on the American Theatre website.
Many of your plays are significant in the "canon" and so will have books or book chapters written about them that should have information about productions. Also search for your authors, a good biography of a playwright should contain information about the productions of the plays.
Some of the following databases will have production and analysis information about plays, biographical information about playwrights, and reviews of plays published in press sources.