Well, I must confess that I don't know a lot about the Sinners or about whether people have had as much success mixing and matching single coils as some people have had with humbuckers.
Your list of influential bands/tones -- Black Sabbath, Led Zeppelin, Iron Maiden, Deep Purple, Rainbow -- are all fairly "classic" or "classic metal" bands, and I thought the Irish Tours would suit that vibe quite well. Likewise, my feeling is that the Sinners, maybe even the Trilogy Suites (but maybe not!), could be hotter than you want.
But people who know their single coil sets better than I (I've listen to bunches of clips, but I'm a 'bucker player, and haven't much experience with playing strats of any description) can probably steer you better (as, of course, can Tim!).