There are several synonyms for the phrase "go press." Some common alternatives include "rush forward," "charge ahead," "forge ahead," or "plow forward." Other possible synonyms include "push on," "move forward," "progress," "advance," or "proceed." These terms all convey a sense of movement and momentum, implying a sense of urgency or purposeful action. Depending on the context and tone desired, different synonyms may be more appropriate than others. However, all the options share the underlying idea of pushing forward with determination and purpose.