The Dawn is the only Princess ship I've been on, so I can't compare it to any of the others. It is one of the older ones (10 years old) so it doesn't have all of the bells and whistles that the new ships have, but I wasn't interested in that anyway, I went to see the beauty of Alaska.
If you do go Alaska, I would recommend a balcony room so you don't miss out on anything. When we pulled into Ketchikan at 4:00 a.m. I was on the balcony taking those beautiful sunrise pictures. So, I recommend a balcony room on the starboard side and don't forget your binoculars!