So just buy some wireless charger base, scrap the casing, mount it behind that center console stack compartment. It doesn't seem difficult to do, just time invested. Pick what circuit to tap into, probably one only live with accessory/battery-saver circuit power, but it's is a low enough current draw that practically any circuit would have that much current to spare, but still, would be advisable to put a dedicated fuse on any DIY added circuit.
If you want it placed somewhere closer to eyesight (might be bad driving safety liability but whatever) then pick where.
There's no limit to what you could fabricate if you want to spend the time/money vs aesthetics of what it looks like.
It seems like you don't need a think tank as much as just jumping on the learning curve of how to fabricate, and how to implement electronics. Any proposed idea will still require similar efforts.
Let me put it another way. Where do you want to put it? You may have to pick again, some things just aren't reasonable.
"Slapping one of those discs down" doesn't seem unreasonable at all, just wherever you put it, route the power wire/connection to it into a hole made in the panel it's mounted do, then under the console or dash the wire runs to the circuit it taps into. It would be the least modifications to stock, to only make a little ~ 4mm hole to route the wire through to tap into a circuit.
