Adding recessed lighting to room with ceiling fan/light already installed, and using fan will all the light off
I did something like this a few years ago, except I had no ceiling light or fan.  I ran a 14/3 up from the wall switch that only powered the outlets.  Since I was also adding cans, I used the 6“ holes I drilled as  access to run the wires, both up the wall and between joists.

I also cut out the original junction box for the wall switch and added an old construction box, having the box removed allowed me access to drill into the top plate.  Using rare earth magnets tied to a string, I was able to stick the magnet to the bit and then pull the string back.  Then use the string to pull the wire.