Enroute rhymes with:
beirut, brut, brute, crute, degroote, fruit, grassroot, groot, pruett, recruit, reroute, root, route, stroot, truett, truitt, uproot
Enroute sounds like:
emard, emeraude, emert, emhart, emirate, emmert, enamored, enumerate, enumerated, enyart, enyeart