They didn't know their air speed (because of the pitot tubes being frozen). I think the report says that there was a path to safety if they had kept focused but it wasn't as easy as just flying the plane via 'the basics'.

It was, and one of the pilots was doing the right thing and would have saved the plane no problem if they had been the only one flying the plane. The problem was that the other pilot insisted on doing exactly the wrong thing, didn’t say what he was doing, and the plane didn’t give nearly enough indication that it was receiving contradictory inputs from the two sets of controls.