  The Type II Seesaw model remains a popular and viable explanation of neutrino
masses and mixing angles. By hypothesizing the existence of a scalar that is a
triplet under the weak gauge interaction, the model predicts strong
correlations among neutrino oscillation parameters, signals at lepton flavor
experiments, and collider observables at high energies. We investigate reports
that the Type II Seesaw can naturally accommodate recent measurements by the
CDF collaboration, which finds the mass of the $W$ boson to be significantly
larger than allowed by electroweak precision data, while simultaneously evading
constraints from direct searches. Experimental scrutiny of this parameter space
in the Type II Seesaw has long been evaded since it is not characterized by
``golden channels'' at colliders but instead by cascade decays, moderate mass
splittings, and many soft final states. In this work, we test this parameter
space against publicly released measurements made at the Large Hadron Collider.
By employing a newly developed tool chain combining MadGraph5\_aMC@NLO and
Contur, we find that most of the favored space for this discrepancy is already
excluded by measurements of Standard Model final states. We give suggestions
for further exploration at Run III of the LHC, which is now underway.
