Ibuprofen increases blood pressure, which is associated with higher levels of tinnitus. You might check in with your GP - maybe some intervention to lower blood pressure could reduce your overall tinnitus?
I feel much better about getting a custom mouthguard for my bruxism now. Also, in case anyone is wondering, it was well worth the insane price for a piece of molded plastic.
Mouth guards for American football, customized by heating and biting them, are pretty cheap in my experience. Not sure how workable they are for other issues.
Acetaminophen doesn't have the same problem for me so I'm assuming it's not just that I'm clenching my jaw without noticing.