Steeplechase rhymes with:
aerospace, airbase, airspace, ambase, anyplace, birthplace, boldface, bookcase, bouillabaise, briefcase, broadbase, bucase, cityplace, commonplace, cyberspace, database, dbase, diabase, diastase, dnase, electrospace, everyplace, fireplace, footrace, innerspace, interface, lactase, lovelace, maltase, marketplace, orthoclase, outpace, parcplace, plagioclase, polymerase, reiterates, scarface, shoelace, showcase, showplace, someplace, staircase, steelcase, streptokinase, suitcase, sybase, typeface, wheelbase, workplace
Steeplechase sounds like:
sheathbills, stabilize, stabilizes, stables, staphylococcus, staples, stathopoulos, steeples, stifles, stoffels