Thanks to RnFnR for some keen observations during the early development of this one.
I call it an overdrive, but some folks might think it's on the heavy side. It's a little heavy.
Verified schematic attached.
Notes:
I added a RF rejection cap at the input (marked "Cx"). This can be omitted if not needed.
If there is too much dirt for your tastes, you can omit C2 and/or C10 to take it down a notch.