Impeach rhymes with:
inspeech, peach, piech, pietsch, speech, beach, beech, beseech, bleach, breach, breech, cheech, creach, creech, dietsch, dietsche, each, inspeech, keach, keech, keetch, leach, leech, leetch, leitch, long-beach, meech, peach, piech, pietsch, preach, reach, reeche, screech, speech, swiech, teach, veach, veatch, veech, weech, wiech
Impeach sounds like:
ianovski, impasse, impeaches, impious, impish, impose, imposes, infuse, infuses, inhofe's, innopac, invesco, invesco's, invoice, invoices, invoke, invokes