Stake-out rhymes with:
scout, about, all-out, bout, clout, crout, devout, doubt, doutt, drought, flout, fout, gout, grout, hout, how-about, kraut, krout, lout, out, pout, prout, raut, redoubt, rout, routt, scout, shout, shrout, snout, spout, sprout, stout, stoute, strout, throughout, thuot, tout, trout, troutt, without
Stake-out sounds like:
saddest, sadist, sawdust, scotched, seduced, sketched, southeast, southgate, southside, southstate, southwest, staccato, stacked, staged, staked, stakeout, stashed, stateside, stateswest, statist, steketee, sticht, stickiest, stitched, stocked, stockett, stoked, stuccoed, swatched, sweatsuit, sweetest, switched