Surely one of the most ambitious shows to be mounted in the area this season, Big Fish is the Santa Barbara High School Theatre program doing what it does best — big musicals with lots of dancing and professional production values. Theater program director Otto Layman is the auteur responsible for this marvelously complex and layered evening, with Jessica Hambright on board as choreographer to help realize the multidimensional vision of the show’s original Broadway director, the legendary Susan Stroman. Aaron Linker plays Edward Bloom, the tale-spinning, shape-shifting protagonist, and Andrew Gutierrez is his son Will, the relentlessly practical and analytic counterpoint to his father’s slippery grandiosity.