The life of a drama critic inevitably includes a confrontation with an angry playwright who insists that every character and situation in his or her very bad play is a 100-percent-guaranteed-true facsimile of real people and events in said playwright’s life. So it is with Shows For Days, Douglas Carter Beane’s self-portrait of the artist as a boy irresistibly attracted to the glamour and thrill of community theater. This is a familiar meme — think of Nicholas Nickleby’s…