I recently came across "The Impossible Gospel" as a way to engage Latter_Day Saints apologetically.
The speaker is Keith Walker. His methodology is very sound. He presses logical consistency that forces the Mormon to confront the nature of thier gospel.
Notice he is very intentional about asking Mormon's to define their terms upfront, while being careful not to define them himself. Consider yourself. Your words hold more weight than another person's, and its harder to escape the boundaries you have set for yourself. the same principle appplies to apolgetic encounters.
You have to let the person you're engaging define their own terms. You jop is to hold them to those defintions. Remember, Latter-Day Saints use a similar sounding vocabulary with a similar sounding dictionary. But there are enoormous differences lurking below the surface. The similarity can be (and will be) used as an escape hatch later. You have to press for clarity early and then stick to those definitions.
I have posted the same lecture twice. I think it can be helpful to hear the same content delivered in multiple ways. The third video is a short, 25 minute breakdown thats very clear and systematic.