Heathcote rhymes with:
northcott, northcutt, advocate, affricate, bacot, basket, becket, biscuit, blanket, breadbasket, brisket, bucket, calcutt, callicutt, casket, certificate, chilcott, chilcutt, circuit, connecticut, cricket, delicate, docket, duplicate, erakat, escott, etiquette, franchot, gasket, hip-pocket, hocutt, honeycutt, huneycutt, hunnicutt, indelicate, intricate, jacket, jacot, jaskot, linscott, lippincott, market, mascot, mashantucket, microcircuit, musket, nethercutt, newmarket, northcott, northcutt, olcott, orcutt, packet, patriarchate, pecot, picket, pickpocket, pocket, premarket, prescot, remarket, rocket, silcott, silicate, skyrocket, socket, sprocket, straitjacket, syndicate, talcott, tapscott, ticket, trescott, trinket, triplicate, truscott, tunicate, turcott, upmarket, wainscott, wastebasket, wicket, willcutt, wolcott
Heathcote sounds like:
hatched, hatchet, hatchett, hathcoat, headset, hedged, hedquist, hitched, hitchhiked, hot-shot, hotshot, hottest