Just had the same happen to me; again. Been making wine for years and I should have known better, but I decided to go with a 3 gallon carboy instead of a 5 gallon. I had about 2-½ gallons of juice to ferment, and I knew it would be a risk. Not all batches get this active, but some do. Alas, this one did and pushed foam out the bubbler and onto the floor.
After cleaning everything up and sanitizing and refilling the bubbler, I repositioned the carboy inside a large stainless steel pot to catch any future mishaps.
It did get into the bubbler again, and I cleaned it again, but no overflow.
In the past, when working with store-bought juices, I usually withhold up to a gallon of the juice until that initial high activity settles down (if it happens at all), and then add the additional juice over the course of a few days to bring it up to full recipe.
I have no real concern about oxidation at this stage since the high activity of the yeast will consume the oxygen introduced by removing the bubbler.
It is important to make sure that the bubbler stays freely open. I had one years ago that clogged, built pressure, and forcefully erupted. Fortunately, I got home before the wife and had everything cleaned up before she got home. She did comment about how there was a nice grape smell in the house when she came in.
