Eschewing rhymes with:
accruing, blueing, bluing, booing, brewing, canoeing, chewing, cooing, cuing, debuting, dewing, doing, ewing, hewing, lewing, misconstruing, nonaccruing, outdoing, overdoing, pursuing, queuing, redoing, renewing, reviewing, screwing, skewing, spewing, stewing, subduing, suing, tattooing, undoing, viewing, wooing
Eschewing sounds like:
eakins, easing, easygoing, echinacea, echoing, economic, economico, economics, economies, economize, economizes, economos, economy's, egging, eggnog, eggnogs, egomaniac, eischens, eisenach, eking, ekins, equinox, escamez, eskenazi, eskimos, essence, eugenia's, eugenic, eugenics, eugenio's, examines, examining, exams, exchange, exchange's, exchanges, exchanges', excusing, exhumes, exigencies, exigency, exim's, exogenous, exxon's