"Hat in hand" is an idiomatic expression used to describe a person's humble or subservient demeanor when seeking assistance or forgiveness. Often used to convey a sense of humility, there are several synonyms for this expression that capture a similar sentiment. One alternative phrase would be "cap in hand", as cap serves as a synonym for hat. Additionally, "humble submission" or "deferential approach" can be used to convey the same humble mindset. Similarly, phrases like "seeking favor with humility" or "coming with humility" can be employed to depict the same sentiment. Ultimately, these expressions all emphasize a sense of humility and deference when in need of assistance.