How did your lifters look on the cam inspection? That's what you really need to keep an eye on. I had significant lobe wear on 2 of them at 200K, but surprisingly low lifter dishing. Didn't expect it to survive to 300K, so changed it all out as part of the TB job. At least on mine, I never heard any loud humming, so I question whether it's the cam.
Here's an easier test: Remove the serpentine belt and test the clutched pulley, which should free-wheel in one direction. The clutching tends to fail after high mileage and they always make strange noises within an RPM range, that tends to vary per person. If it tests fine, then while you have the belt off, go for a short spin to see if humming ceased. NOTE: You'll need VCDS to clear numerous codes, so ye beware. At the very least this can narrow things down alternator, AC pump and tensioner.