I can't answer the question re wiring into fridge compartment.
But, I added LED lighting to our Winnebago Minnie, and after buying our MH, I've added LED lighting to it. I purchased strip lighting from recpro.com that has the stick on mounting track. For both the trailer and the MH, I tapped into the porch light. Since there was only about 8" between the light and the LED strip light, I simply used a small piece of stick on cable cover to protect the wires. On the trailer, it was white on white. On our MH, I've painted the cable cover to match the motorhome paint. Actually, I've installed one 6' strip of lighting, but will add another 6' strip when we get to FL in January and install the cable cover.
