I have to go with the other replies. Jack the temp up to at least 325F. You'll still get plenty of smoke and the chicken will have beautiful, crisp skin.
I don't think even putting it on the grill after smoking is going to come out the same. Like is mentioned in the guide Tim linked, at high temps the layer of fat under the skin melts and gets hot enough to fry the skin. If you go low and slow first, that fat is just going to melt and drain away, never getting hot enough to do what you want with the skin. By the time you put it on the grill that fat is mostly gone. The post-smoke grill will no doubt improve the situation but it's not going to be like a good roast chicken should be.