The icing is one factor, but the dr. was also flying too much airplane.
Don’t get into icing, but if you do, and can’t get out of it;
Airplanes will fly with a lot of ice on them, as long as you keep the speeds a lot faster than normal. Fly normal IFR procedures, and use whatever power is necessary till touchdown. It wouldn’t hurt to get some techniques and advice from freight dogs flying light recip twins up North. There are people that do it every day.(glad I’m not one of them).