Jay (is it Jay?), you might try something larger as the stripping pad, like some type of a/c filter or water cooler pad. Then you can pour that stripping on the surface, brush it around and lay the pad on top to prevent evaporation.
Stripping concrete is no fun, but with the right equipment it is plausible. I've used a low speed buffer with commercial stripper, and even used a metal screen that is round like a buffing pad to hit the difficult or rusty spots. When you are done, it needs to be clean of all chemicals, and dry out for at least 48 hours before applying whatever treatment you've got in mind. If moisture is trapped beneath the new coating, it will cause that new stuff to lift off the concrete and it will peel away in patches.
You almost want to acid wash it, I would think. My specialty is in VCT, not concrete.