So many options for a HSS.
I play in four coverbands, from ballads, disco, funk, pop to (classic) rock and hardrock. I usually play all the sets with one guitar: a HSS superstrat (MXG, made by Patrick Eggle etc...) with a swampash body, maple neck and ebony board. Its loaded with a Crawler and two Irish Tours. I can play everything with it, from Nile Rodgers, RHCP, U2 to Whitesnake. I have it wired in a way that I can split the Crawler (tele-esque) or combine the full Crawler with the middle-IT (adds a bit of sparkle on top the Crawler). Plenty of F-quack on second and fourth position. Classic single neckpickup. Really sings.
I also have an ash Fender American HSS strat with VHII and Mother's Milk. A bit more chime in that combo, maybe du to the ash but imho a tad less versatile than the Crawler/IT-combo.
Choice depends also on the voice of the guitar. A Crawler, a Abraxas and the eighties hairmetal style Holy Diver are obvious choices. The Irish Tours are in fact overwound Mother's Milk which a a bit glassier and woodier. If you dig vintage vibe also check the Pat Pend series. They're quite close to the Mother's Milk. The Pat Pend 63 Veneer Board gets much praise.
The Charvel is a different beast. A guitar like that cries for VHII's, Rebel Yell's or Holy Divers.
My main amps are a Orange Rockerverb MKI 50 head (6V6 tubes) and a Diezel Schmidt (EL34's, 30 watt class A).