Etch rhymes with:
betsch, fetch, fetsch, ketch, kretsch, kvetch, letsch, meche, outstretch, petsch, petsche, sketch, stretch, vetsch
Etch sounds like:
eades, eads, eads', eats, ed's, eddie's, eddies, edds, edes, edge, edges, edgeway, edgeways, edgewise, edgy, edick, edits, etc, etches, etess, ethic, ethics, ethos, etsu, etudes, eudocia, eudosia, eudoxia, eutsey, eyetech, eyetech's