I second the recommendation of weekday morning prayer at 7:30 am or Office of Readings /Vespers at St. Vincent Ferrer at 5:30 pm. Beautiful church. Here is a description of the service: "On weekdays, the Dominican Friars offer these two Offices in the Friars’ Chapel; the faithful who would like to listen or participate quietly gather in the pews outside the Chapel." Every weekday. Maybe an evensong at St. Thomas per above and a Vespers at St. Vincent Ferrer on another day.
Finally, if you aren't flying home Friday evening, the Sacred Heart Devotion at 6 pm in the Mary Chapel at St. Patrick's Cathedral is wonderful. Small chapel packed with devout folks who know this devotion very well. Sung O Salutaris , Sung Tantum Ergo, & Sung Holy God We Praise Thy Name.
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