We present an architecture permitting broad tuning of monolithic microchip lasers by using a wedged etalon. Full tuning from 282 to 314 nm is demonstrated by using a miniature Ce:LiCAF laser design, where tuning is achieved by translating the entire Ce laser cavity relative to the pump beam. The application of this technique to a range of microchip lasers will lead to extremely robust tunable monolithic lasers.