Prepare a 9x13 inch baking tray and an 11x8 baking dish by spraying them with a non-stick spray.
In a large bowl, mix the yeast with the water and add the 1 1/2 cups flour and tablespoon of sugar.
Mix until combined, cover the bowl with a tablecloth and let rise for about 35 minutes.
In another bowl, whisk the butter with the brown sugar. Add the eggs whisking well after each one.
Using a spatula, fold the butter mixture into the dough and mix.
Add the remaining 3 1/4 cups flour and mix well until the dough comes together.
Transfer the dough to a clean work surface dusted with extra flour and knead the dough for about 5 minutes ending with a smooth ball.
Rub the bowl with some olive oil and place the dough inside.
Let it rise covered for another 50 minutes and it's doubled in size.
Dump the dough back out onto the table and punch the air from it.
Roll it into a rectangle shape around 11 inches by 25 inches.
In a bowl of a stand mixer beat the cream cheese, butter, blueberry jam and brown sugar until smooth.
Spread the mixture over the dough.
Sprinkle the white chocolate chips and blueberries all over the surface of the cream cheese mixture.
Start to roll the dough towards you keeping it nice an tight and even in thickness.
Once it's completely rolled into a long tube shape, cut it into slices about 1 1/2 inches thick.
Transfer each piece to the prepared pans with the filling side face up. You should have 18 buns.
You can freeze one tray for another time at this point. *see notes*
Cover the sliced buns with a towel again and let rise for another 30-40 minutes.
Preheat the oven to 375 degrees F.
Once the buns have risen again, place them in the oven and bake for 20-22 minutes and they turn slightly golden.
Make the icing by mixing the powdered sugar with the milk, vanilla and blueberry jam.
Whisk until smooth, if it seems too stiff just add a drop or two more of milk.
Once the buns are fully baked, let rest for 5 minutes and then pour the icing all over the surface covering all of the buns.
Serve warm with fresh hot coffee.