  Water megamasers from circumnuclear disks in galaxy centers provide the most
accurate measurements of supermassive black hole masses and uniquely probe the
sub-parsec accretion processes. At the same time, these systems offer
independent crucial constraints of the Hubble Constant in the nearby universe,
and thus, the arguably best single constraint on the nature of dark energy. The
chances of finding these golden standards are however abysmally low, at an
overall =< 3% for any level of water maser emission detected at 22 GHz, and =<
1% for those exhibiting the disk-like configuration. We provide here a thorough
summary of the current state of the detection of water megamaser disks, along
with a novel investigation of the likelihood of increasing their detection
rates based on a multivariate parameter analysis of optical and mid-infrared
photometric properties of the largest database of galaxies surveyed for the 22
GHz emission. We find that galaxies with water megamaser emission tend to
associate with strong emission in all WISE mid-infrared wavelengths, with the
strongest enhancement in the W4 band, at 22 micron, as well as with previously
proposed and newly found indicators of AGN strength in the mid-infrared, such
as red W1-W2 and W1-W4 colors, and the integrated mid-infrared luminosity of
the host galaxy. These trends offer a potential boost of the megamaser
detection rates to 6 - 15%, or a factor of 2-8 relative to the current rates,
depending on the chosen sample selection criteria, while fostering real chances
for discovering >= 20 new megamaser disks.
