An endoscopic tissue snare system comprising: a sleeve adapted to be slid over the exterior of an endoscope; a pair of push tubes slidably mounted to the sleeve, each of the push tubes comprising a distal opening and a proximal opening; a distal balloon secured to the distal ends of the pair of push tubes; and a snare comprising a pair of free ends and an intermediate portion disposed between the pair of free ends, wherein the snare extends into the proximal opening of one push tube, up the length of the push tube, out the distal opening of that push tube, across the face of the distal balloon, into the distal opening of the other push tube, down the length of that push tube, and out the proximal opening of that push tube.