Here's what rhymes with insinuates.

Consider these alternatives

insinuate / bisinuate insinuated / msinuated transmutes / groups manipulates / states exalts / towards deludes / groups ingratiated / dated visualizes / enterprises righted / ibid sanctifies / size subdivides / rights reintroduces / introduces rids / its humanizes / enterprises infuses / abuses prided / decided comported / reported distills / years