Agree. Most of the time somatosensory signals like to the eyes only last a few weeks. If it last more than six months then it could be injury or posture influencing multisensory conditions. If an ENT rules out sinus, infection and ETD then a dental checkup may help. From there an appointment with a motion neurologist where all the disc of the c spine, muscles, facial and accessory nerves will be examined. Torticollis usually lasts only a few months, unless the torticollis muscle is greatly affected. Any of the many types of very rare dystonia could lower quality of life.
Most of the time without sinus or ETD, spinal disc and neck muscles are related to facial and often TMJ/TMD. There can be any of many muscles, joints and nerves involved with physical tinnitus, including facial. If facial lasts more than six months then the masseter, trapezius, mastoid, occipital, sternocleidomastoid and TMJ/D may be the cause. Changes within the c spine and having one shoulder lower than the other would be something for doctors to consider as well as changes in the c spine curve.
The sternocleidomastoid (injury or spasms) is often involved with physical tinnitus that would include facial and eyes. The sternocleidomastoid can have at least 50 different relations at least in part to physical things that (feel bad) including the neck, shoulders, other parts of the body, headaches. If one side has an imbalance then it can affect the other side with increase or decrease T pitch or loudness or change to the other ear.
If you can lower pitch by eye movement, then from I've read, your neuro brain isn't as active with your tinnitus.
All of this is only from stuff that I have read. The amount of hearing loss needs to be considered. Physical T can be simple in finding cause or it can be difficult and it often depends on age.