I recently did my kitchen with IKEA cabinets. I'm not a huge fan of the toe kick that they sell. I felt like the ends are a little cheap looking and the height is finicky. They sell full height end panels to use for the sides of fridges and pantry cabinets. I cut one of those up to use as a toe kick instead on some cabinets that my inept contractor set too high. The panel like this could possibly work for the back of the cabinets but the wood grain would be the incorrect direction (if you're using a wood finish). Keep in mind that these panels are also particle board so you want to seal the cut edges that will be along the floor. I just put a thin layer of silicone along mine.
As far as the grout lines going under and leaving a slight gap, I wouldn't worry about it. It's one of those things that you'll just never notice. I'll try to snap a picture of mine in the morning if I remember.
Also, with the suggestion above, you probably wouldn't use the adjustable feet and just attach the cabinets to the wood frame.