Ayerst rhymes with:
amerifirst, amherst, ashurst, barkhurst, bathurst, bensonhurst, blackhurst, bratwurst, bringhurst, broadhurst, brocklehurst, dewhirst, dewhurst, elmhurst, fairhurst, hayhurst, jokerst, longhurst, lyndhurst, oberst, parkhurst, potthurst, smethurst, swindlehurst, tolhurst, traversed, warhurst
Ayerst sounds like:
aerojet, aerostat, arcade, arcadia, arcata, arched, argot, argued, argueta, arista, aristede, aristide, arkadi, arkady, aroused, arquette, arrest, arrested, arrogate, arzate, arzt