Alkahest rhymes with:
accessed, altfest, armrest, backrest, bucharest, budapest, canwest, dataquest, envirotest, fieldcrest, finevest, fininvest, goldcrest, grundfest, hardpressed, headrest, healthvest, holmquest, incest, inquest, manifest, marquest, megaquest, outguessed, protest, ridgecrest, sealtest, seaquest, silvercrest, skywest, slugfest, unprocessed
Alkahest sounds like:
aalseth, ahlquist, alcide, alcott, algata, alight, alleged, allgood, alligood, allocate, allocated, allset, allstate, allwaste, alquist, alzado