Adid rhymes with:
did, redid, undid, amid, bid, cid, counterbid, cyd, did, forbid, grid, hid, id, ihde, kid, kidd, kidde, kyd, lid, madrid, majid, mid, quid, rebid, redid, rid, schmid, sid, skid, slid, smid, squid, stidd, syd, tidd, undid
Adid sounds like:
ad, ada, adah, aday, add, added, addeo, addie, addy, ade, adee, adey, adia, adieu, ado, ady, ahead, aid, aida, aide, aided, aidid, at, ata, ate, atha, athey, athie, atta, attaway, attie, attitude, attwood, atwood, aud, audet, audette, audi, audia, audio, audit, audited, auth, auto, autodie, autotote, awad, await, awaited, awed, aweida, aydt, ayodhya, ayotte, ayyad