Infotainment rhymes with:
attainment, containment, entertainment, arraignment, attainment, containment, entertainment, abandonment, adjournment, adornment, alignment, apportionment, arraignment, assignment, atonement, attainment, confinement, consignment, containment, discernment, disillusionment, enlightenment, entertainment, environment, imprisonment, internment, misgovernment, nongovernment, postponement, realignment, reapportionment, reassignment, refinement, self-government
Infotainment sounds like:
impatient, impediment, impotent, inhabitant, inpatient