Counterbalance rhymes with:
ambivalence, ambulance, balance, ballance, benevolence, condolence, dolence, equivalence, excellence, imbalance, insolence, nonviolence, opulence, palance, parlance, pestilence, petulance, prevalence, resemblance, roylance, semblance, silence, somnolence, surveillance, turbulence, unbalance, valence, vallance, vigilance, violence, virulence
Counterbalance sounds like:
counterbalances, countervailing