I know we're all just tempting fate with these replies, but...
I leave all my current stuff in the trunk. It's been about 25* every morning this week. It's 34* now, and the bowling center will be somewhere between 70-75* when I go to leagues. It will probably take a full game before the balls warm up and aren't freezing to the touch.
I'm not overly thrilled about the concept of throwing frozen balls down the lane - mainly because they don't seem to react very well until they are warmed up, but also from the stress and abuse of throwing them down the lane - but, I've never had a problem.
I keep the rest of my stuff in the detached, unheated and uncooled garage. Summer time the temps get up to 95 in there, and last winter I believe they got as low as 13.
I have this
thermometer out there with the sensor hanging just above head level (probably 7 ft) and it stores the max and min temperatures.
The only balls that I've had crack on me were sitting in the house which is kept at 70* all year. All but one had some sort of plug work, and the one that didn't was a blem.
If you're that worried about it, a cooler might help. They are just designed to help maintain the temperature, so cold will stay cold and warm will stay warm. It won't do it forever, and I guess maybe eventually it will reach some sort of equalibrium. I know that I've had coolers full of ice in the summer and several days later you still have ice in the water.