Yesterday, in a fit of whimsy, I decided to make banana custard ice cream. I made custard, added bananas, and froze it. I stirred it a bunch of times, but it wasn't freezing, and then it really froze overnight (I did stir it at 3 am or so), and was really quite icy this morning.
Are lots of ice crystals inevitable if you make ice cream this way? Or maybe is there not enough fat in this "ice cream" anyway (full-fat milk, but no cream)?