From the Lagoon of Liquidspaceman...
We were also suppose to be going in December and staying at the Candy Cane Inn. But for some unforeseen circumstances we need to postpone our visit. With that being said, I never thought about the construction work going on next door. My best advice is to take earplugs. I take them where ever I go. I too am a light sleeper. I even use them at home when there are various noises going on at night.
I hope that helps. You should have a great trip. And if you end up being woke up, think of it as a memorable experience to tell later on in life that you were there when they were "creating" Radiator Springs. And if you just can't go back to sleep, get up and do some tractor tipping. Go luck.
...Liquidspaceman, over and out!