Mom's Rice Pudding - Jill's "Healthy" Version of Mom's Rice Pudding

My mom is known for her rice pudding.  Here's the recipe:

1 cup River Rice (medium grain rice)
1 quart water
pinch salt
2 Tablespoons butter
1 teaspoon vanilla
1 cup sugar
2 eggs
2 cans evaporated milk
Cinnamon

Wash rice until all starch is removed. Add water and pinch of salt. Simmer until rice is done. Remove from stove; add butter and vanilla; stir. Take sugar and eggs; beat well.  Add 1 can evaporated milk and beat.  Repeat with the other can of milk.  Add rice slowly; stir well.  Cook on stove until boiling.  Remove and sprinkle with cinnamon.

And here's how I made it dairy and sugar free. It turned out delicious.

1 cup River Rice (medium grain rice)
1 quart water
pinch salt
1 teaspoon vanilla
10 tablespoons agave nectar
2 eggs (local or your own, of course)
2 cans (14 oz) coconut milk (full fat)
Cinnamon

Cook same as above.  You can adjust the agave nectar to your tastes.  10 tablespoons was the right amount for my sweet tooth.