Help! Cure for transformer hum?

I've had a 1987 vintage NAD 7600 Monitor Series receiver that I've loved for 30+ years. It finally began to show various signs of age and, at just that moment, another that had been stored for most of its life, in the original packaging no less, came available on eBay. It wasn't cheap, but it seemed to be in "like new" condition, so I bought it. 

Well, it's pretty all right, "like new" in appearance, all the circuits work as they should, even the pots are quiet--but the transformer makes a 60 Hz mechanical hum. As I understand it, transformers contain plates that are stabilized with glue which becomes brittle over time and can crack or loosen. In any case, my old, semi-functional but otherwise identical unit, didn't hum. So, after consulting various knowledgable friends, I contacted an authorized NAD service dealer about 200 miles away, took both units to him, and he swapped out the "old" transformer for the "new" one. 

Maybe it was the 400 mile round trip in the car that caused some kind of break in the old, brittle glue bonds of the previously silent transformer, but installed in the "new" 7600, the unit still hums; not as loud as before, but we audiophiles are perfectionists, and it bugs me. It is, fortunately, a mechanical hum, as I mentioned, so I don't hear it in the speakers--although it does get picked up by the tuner.

Is there anything I can do to solve this problem? The transformer is securely mounted to the chassis, and I've tried putting additional damping materials under the feet of the unit. No improvement. I've tried different wall plugs, both with and without a power conditioner. No improvement. 

Of course, it seems likely that the only solution is to replace the transformer with one that doesn't hum. But where would I be able to find that? And is it even worth doing, given what I was told about the time-degraded glue that keeps new transformers quiet?

The repair guy told me (and showed me) higher-cost transformers that are entirely encased in metal; those will never develop a hum, he says. Is it possible to encase one of these original transformers in some way in order to silence it? If so, who can do that?

Sorry for this probably futile plea. Obviously, one solution is to eat the $1,000 I've already spent on the "new" unit and just buy something else that's really new. But I don't want more than two-channel stereo, I don't stream, there are various smart features of the NAD that I would not want to sacrifice--and, best of all, it sounds great in every way except for this damn hum! I've had the option to replace it with a couple of different, and presumably better, devices, most recently a Primare A30.1 integrated amp, which a friend owns and is willing to sell. I had the Primare in my listening room for a month, and liked the sound of the NAD better. Plus, of course, it has a great phono circuit, a tuner, very useful semi-parametric tone controls, a powered balance control, and several other wonderful features. 

Thanks for any advice you can give me.