As said some usb will fit in a 25mm box, 35mm will make life a little easier.
Get a corded wall chaser and class m dust extractor shouldn't be too much dust in the air with a decent wall chaser.
Hilti is decent for the chaser, although the latest version is a bit under powered compared to the older one, did try the titan version but is crap.
If you have dot and dab you could possibly just run the cables up the void, not ideal but works if you get lucky with older style dabs that are just few and random