Don't make yourself nuts over this
In my practice space/man cave I have florescent lighting, computer monitors and other sources for radio frequency (RF) interference. I also pick up some hum from a couple of my chords. Any and all exposed metal becomes an antennea for RF.
If yours is like mine, it's really annoying when practicing or playing in a quieter setting. Once the volumes are up, I don't notice it. It's normal 60-hertz hum that comes from 60-hertz AC wiring in your house and everything that runs on 110v.
Trying plugging your amp into a different outlet, moving around the room, turning off other electronics. Don't use extension chords that are shared with other electronics. They are all on a common ground through the chord and will bleed hum into the sound chain.
The reason it goes away when you touch anything metal is because you provide a new ground path that is separate from the wiring in your house. Everything that is plugged into the wall in your house is on the same common ground path. Ground is ground. The grounds are all tied together in the fuse panel. There isn't a way to isolate your amp from this loop without plugging it into a different ground source, like the house next door. To test this. Touch anything metallic on your amp and see if the hum goes away. Then touch something metallic that's plugged into the same outlet. Then touch something plugged into a different outlet. Try touching the screw that holds the cover on the outlet. The hum will probably go away each time. It doesn't mean your house wiring is bad. On the contrary, it means it's all sharing a common ground and has continuity.
I'm an engineer, this drove me nuts for a month or more. Shielding tape, changing pots, caps, wiring. Rewired the guitar completely, built a Faraday cage to isolate it and still had the hum. It's just a function of single coil pickups and the modern age of RF bleed out we live in.