I don't like the need to mix herbicide spray in close-proximity to the garden beds. I also don't like gravel in close proximity to any string-trimming or mowing! And, as mentioned, if you change your mind on the gravel- Uugh!
I've done the cardboard with mulch on top, its pretty functional, but that's an ongoing strategy that you might find too effortful.
I just use a string trimmer in my garden paths and let the corners grow some weeds for an insectary.
I used to dump the grass clippings on the path, but now I just mulch those clippings with the lawn-mower mulching setting and don't collect them.
However, the grass/weeds in the path will continually invade into your veggie beds.
You might try a propane torch burner for some weed or path touch-ups.
