Blueberries and Cream Ice Cream

I wanted to bring back a little bit of summer by making blueberry ice cream. I picked up a bag of frozen blueberries at the store decided to try coming up with a recipe on my own. I'm calling it blueberries and cream because you definitely taste the sweet cream flavor along with the blueberries. I left the whole berries in because I just love chunks of fruit in my ice cream.

2 cups blueberries (frozen is fine)
1/2 cup water
3/4 cup sugar, divided
2 eggs
2 cups half and half

In a medium saucepan, combine the blueberries, sugar, and water, and simmer for about 3 minutes. Transfer to a bowl, and wash out the pan.
In another bowl, whisk together the eggs and remaining 1/2 cup sugar.
In the clean pan, heat the half and half just to a simmer, then whisk gradually into the egg mixture. Transfer it all back into the pan and cook over medium, stirring constantly, until it coats the back of a spoon.
Stir into the blueberries, then set in an ice bath or refrigerate for a few hours.
When cool, transfer to an ice cream maker and freeze according to manufacturers instructions.