I updated a previous post with a link regarding a pop-up counter outlet that does meet NEMA guidelines for the 4' requirement.

http://ths.gardenweb.com/forums/load/wiring/msg0201072823287.html?12

Box is made by LEW:

http://www.aplussupply.com/lew-floor-boxes/pufp.htm

I will be tapping into a GFI wall outlet at a wall (end of the counter), running my wiring behind the first cabinet and then physically attached on the underside of a section of open counter (breakfast bar) to reach the pop-up fixture

This site that offers the pop-up box online has instructions posted with the box--instructions mention conduit for install.

My question is, would armored cable attached on the underside of the counter meet code, or?

Cheers

Here is a link that might be useful: PUFP-CT Pop-Up box