I've looked into this and found that with a few modifications a Rockwell B1 "Bone" COULD be a good start.
The airframe is capable of Mach 2.2 (although is rarely flown faster than Mach 1.0) and it has roughly the same shape as Concorde.
HOWEVER it also has the variable geometry wing which would allow greater lift at take-off, meaning less thrust being required, meaning a quieter aircraft, meaning happier residents.

It also has greater range and is significantly lighter when empty.
Although expensive and loud, replace the engines with quieter ones and it is possible.
What are your thoughts on the matter?
[glb]Carl out.....[/glb]