Portable Breast Milk Cooler, 4 Ice Rings, 360°Cooling with Vacuum Lid, Safe Chill for 30H+, 22oz Large Capacity with 2 Bottles, Rapid Chill to 40℉, Extra Wide Opening, Ideal for Work & Travel

I use the WONDBORN and it might help your situation. The lid opens right from the top, so you can grab bottles quietly at night and you won't wake up the baby. It also has a super wide opening and fits most common bottles I tried, even the Philips Avent glass ones. Just sharing in case it helps.