Advice on ice cream maker to save money needed.

My mom has swallowing problems and needs only pureed foods. It is costing a fortune to buy ice cream (because she will eat it). I tried the freezer ice cream and never stir it to make it turn from an ice cube into ice cream.

Does anyone know of an modern ice cream maker that you can use your own recipes to make small quantities? I need to know what to look for used.