A catheter device comprising a proboscis shaft and a proboscis disposed within the proboscis shaft. In certain embodiments, the catheter device further comprises an elongate tubular member, wherein the proboscis shaft is disposed within the elongate tubular member. In certain embodiments, the catheter device comprises a tissue surface engagement structure, which has a first configuration and a second configuration. In the second configuration, the tissue surface engagement structure presents a larger transverse profile in comparison to the first configuration. The tissue surface engagement structure may have any of various designs, including an expandable assembly and a hinged assembly. In certain embodiments, a deformable cushion is positioned at the distal end of the proboscis shaft. The deformable cushion comprises a pocket that is filled with a reshapeable material. In certain embodiments, the proboscis shaft comprises a longitudinally compressible portion.