Doomsaying rhymes with:
saying, allaying, arraying, baying, betraying, buffeting, conveying, crocheting, decaying, delaying, dismaying, disobeying, displaying, fraying, graying, greying, haying, heying, laying, nonpaying, obeying, overplaying, paying, playing, portraying, praying, prepaying, preying, purveying, repaying, replaying, saying, slaying, spraying, staying, straying, surveying, swaying, weighing
Doomsaying sounds like:
damaging, dancing, dehumanizing, demagoguing, demjanjuk, demjanjuk's, demonizing, denison's, denizens, denkins, denouncing, dimensions, diminishing, dinkins, dinkins', dominicans, downsizing, downsizings, downswing, duensing, dungeons