Eight Keys Confusion

I am currently reading the book Eight Keys.  On Franklin and Elise’s first weekend of the school year they had asked Aunt Bessie to make ice cream.  There are two parts of this scene that I am a little confused about.  The first part of confusion is that Franklin is lactose intolerant.  Aunt Bessie said there is a way around everything but how do you get around ice cream without using milk?  One of the main ingredients in ice cream is milk and I think it would be impossible to make ice cream without it.  If Aunt Bessie did find a way to make ice cream without milk, was it guaranteed to taste good?  In my opinion they should make something else that doesn’t allow Franklin to not be able to eat it.  Baking or cooking something else would still allow the young children to have a great time in the kitchen, and it would also allow Franklin to have a normal food without any major changes being applied.   

The second scene that I am confused about is that Franklin and Elise have been waiting all day to make this ice cream with Aunt Bessie.  They have had to find other things to do until the evening when Aunt Bessie was finally done with her catering job.  This was the highlight of their day.  When making the ice cream all goes well.  Elise and Franklin had a wonderful time just like they were hoping.  When the put the ice cream in the freezer for a while and then remove it to eat Elise doesn’t immediately eat her ice cream.  She waits until her ice cream re-melts so she can eat it.  Why would you wait all that time for the ice cream to freeze up and then wait for a while for it to melt?  Why didn’t Elise just eat her ice cream before it was put into the freezer?  In my opinion she wasted her time when she was able to enjoy her ice cream much further up in the day.