Pidgeon rhymes with:
pridgeon, pridgeon, baillargeon, bogin, colgin, cottongin, cragin, curmudgeon, dolgin, durgin, edgin, elgin, feagin, glycogen, gougeon, hagin, hanjin, hodgin, iljin, jarnagin, magin, maginn, misogyne, mongeon, plasminogen, pridgeon, ragin, repligen, rodgin, spurgeon, spurgin, tianjin, turgeon, virgin, yeargin, ynjiun
Pidgeon sounds like:
patagonia, patagonian, patchen, patchin, pathogen, patteson, pattison, petitjean, pettijohn, pietism, pitchman, pitchmen, pitkin, pitswon, pitzen, potassium