Hi and welcome mate!
I can pretty much just second our dear Telerocker who is spot on. The Holydiver rules for prog. It is somewhere between modern and vintage making it very versatile since it can be guided by the amps tone. It is warm, organic, roaring, and has a present, but musically rounded high end, which suits strats very well. The output should also be right down your alley.
The Irish Tour then is taking the archetype classic single coil and adding mids, some bottom end, raining in the high end a tad, and adding some magic rock dust. Clean it has all that woodyness with a tad added warmth, especially when you roll the volume down a tad, and under gain it comes alive more and can go higher than a full on vintage single coil. Brilliant for your application and axe, plus it pairs well with the Holydiver.
The Slowhand does the same as the IT does, just more of the same.