My GP prescribes my all my pain meds, including morphine, Vicodin, flexeril, lyrica, all on a daily basis. I chart all my meds. He loves charts and documentation! He tried to get me to cut back on morphine, but when I showed him how much sleep I was losing due to pain, and taking repeated doses of Vicodin at 1 a.m., 3 a.m., etc., he changed his mind about restricting morphine.
Maybe it would be helpful for you to keep a record that shows your intake of Aspirin and Tylenol, to show that you're taking way too much of it and it's not helping. It is especially important to show that you are taking it at 1 a.m., 3 a.m. 5 a.m. and that your pain is interfering with sleep. You can then say something like "40% of the time, pain interferes with sleep. Take a look at this chart." You can highlight the nights you were in pain.
Large amounts of Tylenol are harmful to your liver and kidneys. If anything, taking a narcotic will reduce the need for Tylenol and preserve your liver. I think the guidelines for maximum daily intake for Tylenol might be 2000mg/day but I would ask your doctor (any doctor) what the current guideline is.