i think putting a radio in the glove box is dumb. there's too many other options available.
in my teen years, a family friend donated a 12v electric scooter to us to play with. i modded an old kenwood cd radio to it with a few speakers. i mounted the 'brains' on the back, and then extended the detachable faceplate up to the top of the handlebars with 2 runs of cat5 network cable. it worked, at least until i used the scooter as a scooter, and the scooter motor pulled the voltage too low for the radio to work. so i had tunes whenever i coasted.
if all you're going to use is the bluetooth connection anyways, there's a number of alternatives that will work just as simply, usually for less than a typical headunit cost, and without all the relocation needs.
it's now extremely common in marine or powersports to have a single, small controller to do the bluetooth connection that goes to an amp that can be hidden anywhere. just focus your searching skills towards marine or utv/powersports usage, as that's what most of it is geared towards on most electronics sites, though all of it will work perfectly fine in a automotive setting:
https://smile.amazon.com/Hifonics-TP...1309678&sr=8-8
i believe this one would possibly fit in the factory usb button opening:
https://smile.amazon.com/Waterproof-...309678&sr=8-10
https://smile.amazon.com/Memphis-MXA...309678&sr=8-11
there's also a few amplifiers with remote control heads that do similar, just more all-in-one deals.
https://www.amazon.com/Audio-Systems...1309502&sr=8-5
https://www.amazon.com/Marine-Blueto...309502&sr=8-20
and if you don't want the knobs, this amp has a built-in bluetooth option. just bury it in the dash, connect it to the radio wiring harness:
https://smile.amazon.com/Pyle-Auto-4...311341&sr=8-11