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