I had a blocked pitot years ago, on a ferry of a A310 out of Filton, together with an air/ground sensor failure. 400` overcast, tops 10.000. I can assure you, the combination of the view of the speed tape, sound of bells and whistles of the slat/flap, speed, and for some reason the gpws, distracted me a little bit from trying to figure out what was wrong and fly this thing "pitch and power" until out of the clouds.
It is definately not for the faint hearted.