The List
There are 175 7 letter words with Q as the first letter. The highest scoring is QUIZZED at 35 points in Scrabble. 163 carry three or more vowels, which makes them useful for dumping a vowel-clogged rack.
QABALAHQABALASQASIDASQAWWALIQAWWALSQIGONGSQINDARSQINTARSQIVIUTSQUACKEDQUACKERQUACKLEQUADDEDQUADRATQUADRICQUAEREDQUAERESQUAFFEDQUAFFERQUAGGASQUAHAUGQUAHOGSQUAICHSQUAIGHSQUAILEDQUAKERSQUAKIERQUAKILYQUAKINGQUALIFYQUALITYQUAMASHQUANGOSQUANNETQUANTALQUANTEDQUANTICQUANTUMQUARESTQUARRELQUARTANQUARTERQUARTESQUARTETQUARTICQUARTOSQUARTZYQUASARSQUASHEDQUASHEEQUASHERQUASHESQUASHIEQUASSESQUASSIAQUASSINQUATRESQUAVERSQUAVERYQUAYAGEQUBYTESQUEACHYQUEBECSQUEECHYQUEENEDQUEENIEQUEENLYQUEEREDQUEERERQUEERLYQUEESTSQUELEASQUELLEDQUELLERQUEMINGQUERIDAQUERIEDQUERIERQUERIESQUERISTQUESTEDQUESTERQUESTORQUETHESQUETSCHQUETZALQUEUERSQUEUINGQUEYNIEQUEZALSQUIBBLEQUIBLINQUICHEDQUICHESQUICKENQUICKERQUICKIEQUICKLYQUIDAMSQUIDDITQUIDDLEQUIESCEQUIETEDQUIETENQUIETERQUIETLYQUIETUSQUIGHTSQUILLAIQUILLEDQUILLETQUILLONQUILTEDQUILTERQUINARYQUINATEQUINCESQUINCHEQUINELAQUINIESQUININAQUININEQUININSQUINNATQUINOASQUINOIDQUINOLSQUINONEQUINTALQUINTANQUINTARQUINTASQUINTESQUINTETQUINTICQUINTINQUINZESQUIPPEDQUIPPERQUIPPUSQUIRINGQUIRKEDQUIRTEDQUITINGQUITTALQUITTEDQUITTERQUITTORQUIVERSQUIVERYQUIXOTEQUIZZEDQUIZZERQUIZZESQUODDEDQUODLINQUOHOGSQUOIFEDQUOINEDQUOISTSQUOITEDQUOITERQUOKKASQUOMODOQUONDAMQUONKEDQUOPPEDQUORATEQUORUMSQUOTERSQUOTINGQUOTUMSQURSHESQUYTINGQWERTYS