bprivateaerdric, let's make few things clear first:
Tongue burn (heat burn): It happens when you smoke too fast. The combustion in the chamber causes more water to evaporate due to hotter temperature and that steam burns the tongue, roof of the mouth, cheeks, etc. Some tobacco types tend to easily get hotter than other types. Almost any type of tobacco can cause heat burn if the limits are pushed.
Symptoms: You almost won't feel anything while smoking (maybe some burning feeling, like the one you get from a hot tea or coffee). If you continue smoking for an hour or so, once you finish you will feel the burn. After few hours you will feel the burn on your tongue and the next day you will feel a thin layer on your tongue and roof of the mouth (like a layer of fat that sticks to the roof of your mouth when you eat cold fatty meat). Your body is trying to heal while replacing the skin of the burned parts.
Solution: Improve your packing method (after packing the bowl take a sip through the stem, there should be zero resistance, actually it should feel like there is no tobacco in the bowl) and slow down if the pipe gets too hot while smoking, I usually take a sip every 3-5 seconds, sometimes 3 sips consecutively, it all depends. Drying the tobacco to an optimal level will also help.
Remedy: Honey. That is the best remedy for the tongue burn (and I am talking about the organic one). Usually your body needs few days to recover from a tongue/roof burn but with honey it takes a day (more or less). Take a spoon of honey and hold it in your mouth until it dissolves inside the mouth completely. You can also drink ice water to sooth the pain, but it won't help the recovery.
Tongue bite: It is a chemical reaction and caused by the higher alkalinity of the pipe tobacco. It can or not depend on the temperature of the combustion. Burley for example burns slowly however has a higher alkalinity, so you can get a tongue bite from a burley leaf as soon as you light the pipe. Virginia on the other hand is on the acidic side but usually burns faster and fast burn can cause alkalinity in the smoke thus tongue bite.
Symptoms: You will feel cramps once you take a puff and it will feel like hundreds of needles on your tongue.
Solution: Everything written above for the heat burn can be applied but sometimes nothing works. It is like mixing baking soda with vinegar and expecting to see no bubbles. There will be bubbles and it will hurt your tongue. Macbaren's Plumcake was giving me tongue bites for example (the word "bite" is mentioned 166 times on the page of Plumcake). I aired it for some time, let it age for few months, dried it completely, then rehydrated it. There was just a little bit bite left and I eliminated that with a pipe filter. Pipe filters can be helpful by the way, but not all the time.
Remedy: Stop smoking for few hours, for a day if possible. For an instant relief you can drink ice water as well.