I have just treated someone for exactly the same symptoms and she was suffering from stones in her salivary glands which would block the natural flow from the ducts - allowing only a very strong taste of salt through. She had swellings in her jaw line / neck area, just below the ear on one side. Do you have this? She found that on massaging these swellings she would get a spurt of very strong salt taste in her mouth, followed by a short period of relief.
She suffered with this for years and eventually came to see me in my Homeopathic practice. I have treated her twice now, but after the first treatment she reported an enormous difference. The swelling had gone down, the lumps softened and the taste of salt completely gone.
I can't recommend a remedy for you to take as each case is treated individually - but maybe you should find a homeopath.