A danger in antiinflamatory drugs is that they are also pain killers. Pain is your body's way of telling you that your doing damage. If you block the pain signals, you can easily aggravate your injury without knowing it. Muscle relaxants are sometime prescribed for back problems. These should only be obtained from a physician.
Ice is a great way to reduce pain and inflamation.
A good way to apply ice is to freeze water in a paper cup. Peel the cup back to expose the ice and then use the cup as a handle while gently rubbing the ice over the effected area. Ice is particularly good for the first couple of days. Some people find that it's useful to continue ice treatments beyond that. Others find that the ice treatments make their backs tight if they continue beyond a couple of days.