Finally getting around to finishing up this thread
My old fridge is a Sears kenmore brand. I was able to find complete drawings, schematics and parts list on the Sears web site. So I was 99% sure there were no cooling lines running through the side of the fridge. Just to be safe, I drilled a couple small pilot holes first. I drilled the pilot holes from the inside to locate them exactly where I wanted then drilled the larger holes from the outside.
I got lucky hanging the paint can. The fridge light assembly had a notch in it so I could loop the paint can handle through it.