Placing extra stones seems more elegant. On the other hand, 2 has the downside of requiring specifications regarding which color(s) are permitted – would you force alternate placement? This is not an issue with Go of course
but makes me slightly prefer option 1. I would, however, consider prolonging the game instead of shortening it (so the stronger player must capture X+H stones while the weaker player must capture X stones). Not saying it's inherently better just yet, but I think it'll work better than the other way around – particularly on smaller boards.