A B-55 pilot landed hard and skidded off the runway--collapsing the nose gear and causing dual prop strikes--when he landed with restricted visibility due to ice on the windshield.

Narrative

OAT of 60F on departure dropped to 40F enroute in VMC at night. AWOS at our destination was reporting 3;500 overcast; visibility 10 miles. No indication of ice on wings or elsewhere. When I lined up with the runway; I could see that the windshield had iced up since the view out the front was obscured. I executed a go around and moved the defroster controls to maximize defroster flow and waited several minutes while orbiting the field.I then decided to try another landing with marginal forward visibility. Started landing flare about 2 seconds too late due to poor visibility. I touched down on the runway but not pointed down the centerline. Because of the delayed flare the nose wheel slammed onto the runway and the airplane ran off the side of the runway. The nose wheel collapsed and caused the props to hit the ground (engines were at idle power) as the airplane skidded to a stop. There were no injuries; just aircraft damage. As we got out of the airplane it started to sleet; this had not been visible in the air.