Ratties rat bedding

I currently use aspen shavings for my rat cages. But the shavings are getting everywhere and are driving my mother crazy. I use fleece for my guinea pigs but I didn't know if that would work as well for rats. Also I thought carefresh might be better as it doesn't seem to get everywhere like shavings, but I don't want to rush out and buy either things without knowing if they work for rats. So in your opinion, what is the best bedding to use for rats, besides wood shavings? thanks