To get sweetness inside the turkey you'll be smoking, you can brine it, using a turkey brine recipe that's heavy on the sweeteners. Possible sweet flavorings could be white or brown sugar, maple syrup, honey or fruit juices.
Any of these would go a long way in making your smoked turkey finish up with a sweeter flavor than normal.
This sweet brine gives the turkey a spiced apple flavor. Apple or cherry wood works well for smoke. Follow the link above to the turkey brine recipe page for detailed instructions on putting the brine together.
1 gallon water 3 quarts apple juice 3 quarts orange juice 1 1/2 cups kosher salt 1 1/2 cups brown sugar 10 whole cloves 1 tsp nutmeg