Modern George Nelson Spindle Clock, Non Ticking Mid Century Retro Design

There are dozens of this unique silent clock available to choose from

Dimmable LED Bathroom Mirror Anti-Fog Wall Mounted Lighted Vanity

Available in a variety of sizes so the size you need is sure to be found. The link I used is for the best rated light. It does not have the Bluetooth function but I would rather not have that than lower quality and customer support. Especially if it has to be returned. This one is your best bet in that department.