The only things ive tried is for baths and eye pads/face masks. Apparently you can also use it as cat litter, refrigerator deo, cleaning (antibacterial), incense and of course tea pillows as mentioned earlier (which is a long term task
I bet that mixing them in with cat litter probably would help a bit.
Going back to composting, one thing that I heard about a little while back is indoor composting with worms. You just get a bucket, some dirt, and some earthworms (get one of the containers sold for bait). You can then dump in a number of things, and from what I understand you would be surprised at what they can and will eat up (eg the paper in teabags). Apparently the only smell that you get is the light smell of soil.
I just heard a small spot on it on NPR's Science Friday, so I don't know a lot about it but apparently it's pretty simple. If you decide to go for it then you might do some Googling for tips.