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