This is not realy a Remix.
Intsed its a remake of a basic design idea.

I made the LED holder so you can shorten it afterwards with a saw to fit desired length.
You have to watch out how you mount the cable ties because they wont fit if you put the head in the back.

Sadly there is a shadow form the Headblock which you can´t solve without blocking the sight to the nozzle.But in my opinion the illuminated area is good enough to see well.

UPDATE:
yesterday I found something out about the Ender 3 Board.
As many of you know its the same board used in the CR10 on 12V.
The Outlet closest to the 24V input says 12V but it is actually just a bridge to the main power.
I found this out because my 12V LED got really hot and changed color after around 5 Days continuous light.

DONT USE THIS OUTPUT FOR 12V DEVICES !
Instead use a voltageregulator or put a resistor in series with your 12V LED.