I've had good experiences with Private Dining at Harris Steakhouse, although it's near all of your designated neighborhoods. Old school but great food and service. Here's a link to their private dining rooms: the boardroom and the library are for smaller groups. They try to do 2 seatings each evening but will sell you the room for the night if you need it.
http://www.harrisrestaurant.com/private_dining.php
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