Make the sugar syrup by combining 1 cup sugar, 1 teaspoon almond extract and 1 cup water in a pot. Bring to a boil over medium heat, stirring constantly. Let the mixture boil for a few minutes, then remove from heat and allow to cool.
Once the rising time is finished, add the dough to the grill on the indirect side for 40–50 minutes, or until 190 degrees Fahrenheit.
If you want to experiment with smoke, don't overdo it. We suggest using a light flavor point, such as apple or cherry chips, no more than one-quarter cup. Just sprinkle the chips over the coals and let them do their work. Some charcoals have wood chips in them, or offer specific cut lump charcoal.
Be careful when grilling to make sure your outer-most edges of your babka don't burn or get too crisp. This can happen if the bread is too close to the heat source. If you have a small grill, you could create a barrier from the coals by using a piece of pre-cut sheet metal to block the direct heat. A 12"x24" piece can be found at most hardware stores.
Check internal temperature with digital thermometer, such as a Thermapen ONE. Once internal temperature of 190 degrees is reached, place the pans on a wire rack to cool.
Pour the cooled almond syrup over the babkas 1/4 cup at a time, dividing the syrup evenly. Let the babkas cool in the pans for about an hour, then using the parchment to lift out of the pans. Let cool completely on a wire rack.
Wrap cooled loaves in foil and store on the counter. Babkas can be wrapped thoroughly and frozen.