I still quite like this initial idea, but I'm going to depart from it although the basic concept holds.
Essentially my idea is to take the bullet shape of Hermann Oberth's Modell E rocket or his version known as the spaceship Friede
seen in Woman In The Moon
and turn it on its side. Eliminate the box fins except one which is tweaked and adapted into the main support for the two massive ring-coils fixed a bit aft of mid ship. There will be additional support for the rings from a different looking lower strut. Aftward will be hefty looking sunlight or impulse drive. The impulse section and the ring support and rings will look a bit less evolved than that seen on the ringship Enterprise
. Then it's a matter of adding detail.
Part of how I like to design such things is to imagine a story being played out with the ship, envisioning it in the pages of a book or scenes from a film or television episode.