I think you might like Government Mule. It is Warren Haynes' (Allman Brothers, The Dead) side project. Other members include Andy Hess (The Black Crows, Joan Osborne, John Scofield) Danny Louis (Joe Cocker) and Matt Abts (Dickey Betts Band)
They play music much like many of the bands you listed. The only difference is that the Mule is in its prime and at musically at the top of their game. If you have a chance to see a live show don't miss it, Warren is one of (if not the) best live guitarist playing today.
Sco-Mule
Lola Leave Your Light On
Mississippi Queen (old 1999) if you only look at one this it, listen for the sick Cream tease about 4:45 in
Mule.net band website