I am the same size - my favorite bra of the moment is a Calvin Klein racerback bralette. It has thin straps and light padding (no underwire) and basically looks like a bikini top. Found at Nordstrom Rack. I like it because it fits nice and snug and looks cute underneath tank tops.
My other favorite bra is a Hanes soft padded bra. Its made of a soft stretchy material. Light padding/no underwire and very comfortable.