you're asking a lot with out using sugar.
you could try this with splenda instead of brown sugar.
ingredients
3 pounds frozen crinkle cut carrots
1 stick butter
1/2 cup brown sugar
1/2 cup orange juice concentrate
2 ounces Jim Beam® Bourbon
Cooking Instructions
Boil carrots until almost tender, drain. In saucepan, heat butter, brown sugar, and orange juice concentrate until bubbly. Stir in Jim Beam® Bourbon and remove from heat. Place carrots snuggly in baking dish. Pour sauce over carrots and bake uncovered for 1 hour at 325 degrees.