  In a recent paper, Cho, Kim and Yoon (CKY) have proposed a version of the
SU(2) $\times$ U(1) Standard Model with finite-energy monopole and dyon
solutions. The CKY model postulates that the effective U(1) gauge coupling $\to
\infty$ very rapidly as the Englert-Brout-Higgs vacuum expectation value $\to
0$, but in a way that is incompatible with LHC measurements of the Higgs boson
$H \to \gamma \gamma$ decay rate. We construct generalizations of the CKY model
that are compatible with the $H \to \gamma \gamma$ constraint, and calculate
the corresponding values of the monopole and dyon masses. We find that the
monopole mass could be $< 5.5$ TeV, so that it could be pair-produced at the
LHC and accessible to the MoEDAL experiment.
