At first I thought I could use 听起来, but if I'm not mistaken this is only used for actual sound, not "you just told me your dad is back from the hospital, it sounds like he's getting better each day". (My version: 听起来你的爸爸越来越好,太棒了!)
What about 看起来? Some of the meanings given by the dictionary are "gives the impression that" and "looks as if", is 看起来 reserved for actual physical appearance or can it be used in the context above?