Man, what a putz I am - I should have come up with the Aristocrats. I love those guys - I've gotten to know Bryan Beller a bit over the years, awesome dude.
So, related to them - Beller's got a couple solo albums out. Marco Minnemann has several as well - he's one of those freakishly prolific dudes. Plays all the instruments on his solo albums, at least the ones I recall. Some out-there stuff on those.
Marco and Guthrie Govan have been on the last couple Steven Wilson albums - he used to be in Porcupine Tree. Way more to the prog side than the hard rock side, but his stuff is fantastic. "Hand. Cannot. Erase." was pretty much my album of the year for 2015, and the show live was unreal.
Branching off from Beller again, he and Marco are on the new Satriani album, but I'm sure you know Satch. The fourth guy in the band is a guy Beller has played with for years, Mike Keneally. Another one of those unbelievably versatile musicians. He and Beller are in the touring version of Dethklok. Mike's solo (and band) stuff doesn't really trend into the metal pool, but he covers a ton of stylistic ground. Another guy I've gotten to know over the years, and one of those guys who just makes me shake my head when I see him play. He's played with Zappa (where I first encountered him), Vai, Screamin' Jay Hawkins, Chickenfoot (on keyboards - he started as an organist), Lyle Workman and others. Best of all, he's got a streaming site,
http://www.radiokeneally.com, where you can hear pretty much all his stuff, including unreleased stuff.
I'll mention John 5 as well, although I'm guessing you've heard of him. Another guy who can be all over the board style-wise (he used to be in kd lang's band, and was later with Marilyn Manson before his current gig with Rob Zombie). In a similar vein, but a little more out-there, is Mattias IA Eklundh - he has solo stuff and stuff with his band, Freak Kitchen.