Basketry rhymes with:
circuitry, rocketry, altimetry, asymmetry, banditry, bigotry, cabinetry, circuitry, dissymmetry, gadgetry, geometry, helotry, idolatry, optometry, poetry, psychiatry, punditry, puppetry, rocketry, spectrometry, symmetry, telemetry, toiletry, zealotry
Basketry sounds like:
babysitter, backdoor, backwater, bacteria, bastyr, baxter, bester, bigotry, bistro, bookstore, booster, boster, bostra, boughter, buchter, buster, bustier