What you're describing is something that is very difficult for someone on an internet forum to be able to provide advice for. For all we know, this could potentially be something physiological. That's not meant in any way to scare you that you have something physically 'wrong' with your throat region. But, point being that just from the description you gave, that could potentially be anything.
Now, on the other hand, if you have ruled out anything potentially going on physiologically with your throat region, then you might want to consider that your throat chakra is a very powerful energy portal of the body. If you have felt inhibited, suppressed throughout your life, or you are in the process of trying to create more space for your own unique expression in this life, then the throat chakra could potentially be opening up for you. For many of us, we have felt afraid most of our lives of expressing ourselves because of the subconscious programming and conditioning we were exposed to for so long and as a result, we have felt that we were afraid of people not accepting us for who we are and therefore, we never fully expressed ourselves out of fear of rejection. So, perhaps your throat chakra area is being activated during meditation and there could be an emotional focal point in that very area. My pain body over the years has always manifested in my solar plexus region and abdomen and hence why I have had a plethora of GI related health conditions throughout my life. Of course, I could be totally wrong here, but just some ideas to consider.
But, I think if any of us here on this forum were to attempt to give you advice, we would need more information from you.
Hope this helps