Goodyear METEOR

Post Sputnik in 1957, Goodyear pushed an integrated set of rocket, spaceship, and space station designs, and continued to do so through the early 1960s until it became clear that NASA was going ahead with their own approach.

This image was printed in Missiles & Rockets magazine's March 1960 issue, so slightly outside our group timeframe. But the design itself is a bit earlier; this picture would have been by Goodyear themselves, sometime in 1958 or '59.