Medicaid rhymes with:
barricade, barricade, cavalcade, motorcade, accolade, adelaide, andrade, ansaid, barricade, bridesmaid, cavalcade, centigrade, countertrade, downplayed, escapade, eyeshade, fusillade, gatorade, inlaid, kitchenaid, marinade, marmalade, mermaid, motorcade, niaid, nightshade, overlaid, parlayed, peyrelevade, relayed, renegade, retrograde, ricocheted, rollerblade, rubbermaid, sallade, switchblade, upbraid, waylaid
Medicaid sounds like:
matched, matchett, matsuda, matsushita, mediaset, medicate, medicated, mendacity, metagogued, methodist, mideast, midget, midgett, midgette, midsized, midst, midwest, mindset, mitigate, mitigated, modesitt, modest, modesta, modestia, modesto, modesty, modisette, monteagudo, mudgett