The phrase "most encountering" can be replaced with multiple synonyms. One alternative might be "frequently encountering," which suggests that the encounter happens often. Another option could be "often faced with," which implies a similar degree of frequency. "Regularly experiencing" is another choice, with a sense of routine and predictability. For a more intense or unexpected encounter, "most frequently confronted" might be a more fitting replacement. And finally, "commonly coming across" could be used to convey a sense of ubiquity or prevalence. Ultimately, the best synonym depends on the context and intended meaning of the phrase.