I know we've touched on various designs like the Boeing 2707 elsewhere, but I'm interested in a systematic look at US SST programs.
NASA Langley did a huge amount of research into basic configurations for SST design starting from 1962. Some of the configurations they came up with were:
SCAT-4
Fixed-wing design, highly integrated wing, fuselage and engines and tail into a highly swept, cambered and twisted aircraft design minimising wave drag.
SCAT-15
Auxiliary wing design somewhat like the D-24 Alliance concept but with no horizontal tail surface
SCAT-16
VG design a lot like B-1/Tu-160
SCAT-17
Fixed delta wing with a canard forward surface
Boeing's early SST design was 733-197, in early 1964. This carried 150 passengers, with a gross weight of 430,000lb and a cruise speed of Mach 2.7. Basic structural material was titanium, and wing sweep varied from 20 deg to 74 deg. 4 afterburning turbofans such as the GE4/F6A in the 50-60,000lb category were mounted in individual pods across the wing carry through.
By November 1964 development had moved to the 733-290, with sweep angles now 30 deg to 72 deg and engines moved further aft. Passenger load was now 241, but gross weight was increased to 500,000lb.
18 months later, Boeing had progressed to the 2707-100. Gross takeoff weight had risen now to 675,000lb, and a new, enlarged tailplane fitted flush against the wing in maximum sweep to form a single modified delta planform lifting surface. Engines were again moved aft, to just under the tailplane. Length was now 306ft.
By November 1967, the Model 2707-200 was 318ft long, and now housed 292 passengers in a typical mixed configuration, with moveable canard surfaces on the forward fuselage.
In October 1968, Boeing announced it had shelved the VG SST and was working on a fixed wing design, the Model 2707-300. The integrated wing/tail concept wasn't working - the rear engine position resulted in poor mass distribution, and the control surfaces were closely coupled to the CG reducing stability. The canards added to 2707-200 had just made matters worse, not better.
The final cancellation of the program happened on 24th March 1971 when the US Senate voted against further financial backing.
Source:
"Annals of the Polymorph" Air International, May 1975.