In this case, if you are taking naproxen and acetaminophen (Tylenol) and would like another product to further lower the pain, the option remains "Tylenol with codeine." This is available over the counter, but should be requested from the pharmacist because of the associated side effects of drowsiness and addiction. Codeine is essentially comparable to morphine, so it is the strongest of the over-the-counter painkillers available. If you decide to use it, it will replace Tylenol, as it already contains it.
A Myoflex or Antiphlogistine type cream can also be applied directly to the pain, but its effect is more as a mild supplement to tablet painkillers. There is also Voltaren Emulgel that can be considered; however, since it is an anti-inflammatory cream, this should not be used in conjunction with naproxen, but rather as a replacement for it.
Otherwise, you could always ask your doctor if it would be appropriate to switch the naproxen to another anti-inflammatory. If the pain hasn't improved greatly since you started it, sometimes a better result can be achieved by switching molecules. Beyond that, another option to consider would be a cortisone injection into the joint, but that is reserved for severe, consistent, chronic pain.