Quite simply none of the current non-DSLR digital cameras will give you decent low light performance in those conditions. Even if you get one with image stablization and a small aperture (which allows more light in allowing you to use a faster shutter speed) that allows you to get non-blurred photos only gets you part way there.

The other problem is noise. To get non-blurred shots in those conditions, even with a wide aperture and IS, you will need to use the 400 ISO sensitivty setting. The 400 ISO setting on non-DSLR cameras are all univerally noisy, meaning the shot isn't really usable for much anyway.

If you want to take decent shots in conditions like this you really do need a DSLR, which are getting cheaper and cheaper (and smaller and lighter) by the month....