Thank you for the additional information.
There are several issues to consider in this situation.
If there is pain with swallowing or yawning in the throat of someone taking an anti-inflammatory medicine, it is common for this to be related to acid reflux irritation of the throat. Even without heartburn, acid reflux can present with pain in the throat as a sole symptom.
The other major issue to consider is that there is a muscle condition causing the diffuse muscle pain, and since there is muscle in the throat, the diffuse muscle pain could also be the cause of the throat pain. I ask about the lab work because it is possible to have an inflammatory condition that affects the muscles, called myositis, although there are several different types of myositis. There would usually be an elevation in the sed rate (or ESR) and CPK. If the ESR is normal, then it would be much less likely that a myositis is present, but a normal CPK would be a more complete evaluation.
There also are certain muscle conditions that can cause diffuse muscle pain and tenderness without any evidence of inflammation or abnormal lab tests. The most common of these is fibromyalgia. This is the most common cause of chronic muscle pain with a normal evaluation.
At this point, it would be reasonable to try a medicine to suppress stomach acid, such as Prilosec, Prevacid, or Nexium, to see if it helps the throat pain. If the evaluation of the diffuse muscle pain is normal, then treatment is usually by a variety of medicines to ease symptoms. If the Tylenol is not adequate for control of pain, then there are several medicines that can help, including certain anticonvulsants (gabapentin or pregabalin), and certain antidepressants
(amitriptyline or duloxetine).
If I can provide any further information, please let me know.