Like a square shooter is a phrase that refers to someone who is honest and forthright in their dealings. If you're looking for synonyms for this expression, there are a number of options available depending on the context of the use. Some possible alternatives might include "trustworthy," "reliable," "upright," "sincere," "truthful," "authentic," "genuine," or "straightforward." Each of these words has subtle differences in meaning that might make them more appropriate for different situations. Regardless of which synonym you choose, the overall message conveyed by the phrase will likely remain consistent - that the person being described is someone you can count on to be honest and fair.