Huggies Overnights— waking up soaked!

Baby is 4 mo and 16 lbs, so right at the start of size 3. We put her in Huggies Overnights size 3 to try to cut out the middle of the night changes so she doesn't wake up too much. However, she is a MOVER. Like I'm talking full 360s through the night, switching from back sleeping to side sleeping frequently, and we find she often is soaked by the morning.

Any recommendations? I know people say to size up in overnights, but we worried a 4 would be too big considering she is only 16 lbs.

ETA: Got same day delivery via Amazon for Pampers Overnights (also sized up). Going to try those and if that doesn't work, I'll try adding the sposies!