Here's what rhymes with overdo.
to do two too due du dew tu chew deux adieu ado bu ju jus overdue peu pu boo chou chu doo tue pooh poo who you new true knew blue drew u blew coup qu shoe zu anew lieu shew su sue undue vous fu lu rue stew subdue taboo undo zoo brew hu ku loo mu nu pew seu shu sou tattoo vu woo yew yu coo cou ewe feu gu ru shampoo shou thu tzu vnto vou wou wu goo moo shoo gnu roux zebu thew whew overshoe overdrew into through few view grew que crew hitherto pursue threw flew overview q residue screw avenue bamboo canoe clue cue glue hue queue accrue cu flue slew untrue flu overthrew piu skew thru beaucoup eschew fue hew mieux outdo shrew sprue vue clew mew redo strew halloo spew valuer fondue kazoo slue overflew phew overgrew wazoo booboo achoo atishoo revenue renew debut ensue jusqu sinew askew imbue outgrew cockatoo honeydew bugaboo endue foreknew indue marabou peekaboo regrew review withdrew retinue caribou construe revue ballyhoo hullabaloo bestrew buckaroo muumuu prevue superglue interview rendezvous kangaroo barbecue misconstrue barbeque