nufinish has no abrasive content, it's a sealant w/ some moderate filling ability to hide swirls so there's no need to top it with a wax.
Your kinda thinking about the process kinda sideways; you don't really need anything more than UC and UP (course, then something to seal/wax/protect). With UC/UP, or 105/205, a selection of pads and some knowledge, you can pretty much take on any vehicle. Correction is all about the combination of polish, pad and technique. You'll need a few small pads for hand application where the DA doesn't reach, like door sils, etc. Figure 4 of each type of pad for your typical small-midsize sedan but you'll probably want at least 6, if not 8, for a surburban sized vehicle. You can certainly do C-pillars by machine w/ standard pads...in fact the goal is to do everything you can by machine to minimize the laborious hand polishing. I'm not familiar w/ griots pad colors but my usual approach is to have cutting pads, polishing pads & wax pads. By varying pad, polish and technique, you can find the least aggressive combination that yields the results you want on a specific car. Not to say that the way I do things is the only way to skin a cat.....
For me, a typical process to prep for polishing would be wash, decon w/ clay/nanoskin & occasionally ironx, wash, tape, polish (1 step or 2), de-tape, wipe down to remove polishing oils, wax/seal/coat. But, there's no point in doing all that work, polishing a car just to induce more defects with poor washing and drying techniques