Here's what rhymes with pidgeonhole.
whole soul hole sole fol shoal foal thole vole role coal goal pole roll bowl mole poll stole toll knoll dole bole boll unroll kohl pigeonhole tole dolour skoal parole scroll stroll enroll droll buttonhole troll condole camisole maypole prole rissole innersole control patrol systole casserole extol vacuole cajole petiole oriole cubbyhole extoll beanpole glycerol bedroll decontrol arteriole profiterole quadrupole