The tunneling dynamics of several water trimer isotopomers is investigated by using an extension of the Hamiltonian that was previously derived for pure (more symmetric) trimers. This Hamiltonian takes into account the overall rotation of the trimer and three internal, torsional, or pseudorotational, motions of the monomers. Quantitative calculations of the torsional levels are presented, and the small effects of internal, i.e., hydrogen bonded, H/D substitutions and the much larger effects of external H/D substitutions are discussed. Transition line strengths are computed as well, and the assignment of most of the bands observed for the various water trimer isotopomers is confirmed. In one case we suggest a different assignment.