You can gargle with baking soda mixed in some water, but you should really get onto Dr. Sircus' full protocol with magnesium chloride (Ancient Minerals Magnesium Oil) and iodine.
All of these can be used as a gargle on the tonsils, but not at the same time, and each should help the inflammation tremendously.
Magnesium Oil and Nascent Iodine are available here: http://www.magneticclay.com/
Sodium bicarbonate can be purchased at most food stores or supermarkets very cheaply. Just make sure to purchase 100% sodium bicarbonate with no additives.