The phrase "have recourse to" is often used to indicate that someone is seeking help or assistance, often as a last resort. However, there are several synonyms that can be used in place of this phrase. One option is "turn to," which conveys the same sense of seeking assistance from someone or something else. Another synonym is "rely on," which suggests that someone is depending on someone or something for help in a difficult situation. "Resort to" is another option, which can be used when someone has exhausted all other options and is forced to take drastic measures to find a solution to a problem.