Everything in the box stores was going to hang below the edge of the cabinets, since there is very little space under them (about 1/4 inch). To hide them, I'd have to locate them toward the back. But that would not give me the light distribution I want as a counter top task light. SO I'm definitely thinking of going with the strip lights. I'm looking for a power adapter I can then mount under the cabinet near the back (where it won't be bad to hang below the 1/4 inch level). I just need to find one with an IEC inlet on the side, preferrably grounded (e.g. the "mickey mouse" type inlet a lot of laptop adapters use). Gotta find where my industrial catalogs (Digikey, Grainger, etc) walked off to.
