OK, it sounds like logic is not working here. So bring out the big guns ... tears! Tell DH how worried and upset you are and then start crying.

My DH sometimes just won't listen to rational thinking and I'm not a very emotional person and don't like people to see me upset on the rare occasions that I am. But gee, he turns into a different person when I let down my guard and start talking about my feelings rather than what's right and wrong.

Sorry if that sounds manipulative but in this situation I think it's warranted.