So sorry this is happening to you. I choke on my own saliva at times. I've given DH2B many scares.
Immediate things you can do is to drink thicker things and/or hot or cold things. The trick is that these things will turn on more neve endings (hot or cold receptors) so your brain interprets that you are, in fact, about to swallowing.
There are thickeners and I forget what they are called.
Take care,
ANN