I'd check to see if the Poly still has a lot of construction going on during your trip. That can definitely impact a child's nap. Plus, it's ugly.
If I was in this predicament, I'd go with the Wilderness Lodge.
"Polynesian Village Resort – Walt Disney World is building a
new DVC tower at Polynesian Village Resort between the existing Polynesian longhouses and Wedding Pavilion, near the Grand Floridian.
In light of this, Walt Disney World’s official site has this message: “As we prepare for the proposed expansion at Disney’s Polynesian Village Resort, you will see and hear construction at certain times of day. To minimize disruptions during your stay, activities that may create noise will not start earlier than 9 a.m.”
If you’re staying at Disney’s Polynesian Village Resort anytime in the next 2 years, we’d recommend requesting a room that is
not in the Aotearoa, Fiji, or Tuvalu longhouses. Those buildings are adjacent to the construction site, and the only ones that should be impacted in any material way. The DVC tower construction is visible from other locations in the resort, but the impact is otherwise minor.
Actually, we recommend avoiding the Polynesian completely for the next couple of years. As explained in
Worst Hotels at Walt Disney World for 2023, the construction impact will be ongoing and it’s likely that smaller projects will be undertaken in addition to what’s already been announced to prepare the resort infrastructure for the tower and its added DVC guests."