Swamped rhymes with:
attempt, bumped, camped, clamped, contempt, cramped, crimped, damped, decamped, dumped, empt, encamped, exempt, humped, jumped, lecompte, limped, lumped, plumped, preempt, prompt, pumped, revamped, slumped, stamped, stomped, stumped, tempt, thumped, tramped, trumped, unkempt
Swamped sounds like:
senft, sgambati, shampooed, signified, sinbad, snapped, sniffed, sniped, snippet, snubbed, snuffed, somebody, succumbed, sunbath, sunbathe, sympathy