Romancing rhymes with:
advancing, dancing, enhancing, financing, glancing, lancing, lansing, prancing, refinancing, sansing
Romancing sounds like:
ranching, ranging, rangoon's, ranking, rankings, rankins, ransacking, ransom's, ransoms, rearranging, reinking, remaking, reminiscence, reminiscences, reminiscing, remissions, renaissance, renaissance's, reneging, renouncing, rensing, ringing, ringneck, rinsing, rummaging