Hello Laura.
Many years ago this used to happen to me - when I wore the proprietary 'bags' that coulld not cope with the excessive wind. However, since I have been irrigating I have used the irrigation sleeve as a form of 'bag at night-time's. This would be almost impossible to fill, let alone burst.
i have recently been in touch with Coloplast about the possibility of having a 'bag' to fit on the two-piece clip on system that I use for their irrigation sleeves. Fortunately, they already have such a thing and they sent me some samples. The baseplates sleeves and bags are 60mm holes, but I believe they go up to 70mm.
I hope you are able to find a solution to your problem asap. as having that sort of mess in the middle of the night is no joke!
best wishes
Bill