There are many ways to skin this cat

"meat jig"... heh! :thumbup:
As long as you don't overheat the edge, or pull a huge gnarly burr off it that will just flop back and forth all day and annoy you, there's not really a "wrong way" to sharpen.
Typically my edges are pretty thin, so it only takes a few passes (edge up) against an A45 Gator belt to set the edge bevels and just start to raise a burr. As mentioned before, I do this on the slack portion just above the platen, and use very light pressure, so as to help keep the edge cool but not convex it (you can always roll the shoulders back once the edge bevels are set). Then I switch to a 400/1200 EzeLap combo diamond plate to clean and refine it, strop on plain leather glued down to a board, and call it good. I find that for most knives, this provides a crisp but slightly toothy edge that cuts well in a variety of tasks. For more delicate, task-specific blades I continue with micron polishing belts and/or higher grits of wet/dry sandpaper and 3M polishing sheets, leather with fine polishing compound, etc.
One sharpener who specialized in chef's/sushi/sashimi knives told me his "secret weapon" was Mother's chrome polish on a hard backing as his final step.
One thing I've found about stropping is that if it takes more than a few strokes per side, or I have to apply pressure... either I wasn't really done on the last stone, or I raised way too big of a burr to begin with.
So, how would/do you sharpen a re-curve without rods or grinder?
I just use hand-held, narrower stones/plates, like the "pocket size" ones roughly an inch wide. It's not a big deal, it just takes longer. The even narrower stones in Lansky-type systems also work well inside those curves, as I'm sure a rod-type system would. You might be surprised how many users do have those sorts of systems, so I wouldn't worry about it too much.