Make a hole in the wall.

Wiring concealed in walls gets hit with a bunch of rules, the first one being it must be an NEC approved wiring method.

Most LV lighting is well over the power ratings allowed for control circuits like thermostats and doorbells.

There are plastic trim strips available to hide the wiring on the bottom of the cabinets.

I assume you aren't worried about the bottom of the cabinets but you don't want a wire running up the side to get to the short one, right? You can drill a small hole in the bottom of the cabinets and between each cabinet and run the wire inside. Just be sure to secure the wire to the back corner.