While FEN does have completely insane motion of the sun, it doesn't have the sun stopping as the norm.
Actually, it did have the sun stopping as a norm:
Aborigines of the New World: “the Sun and the moon had equal light in the past."
At the other end of the world the Japanese asserted the same: the Nihongi Chronicle says that in the past "the radiance of the moon was next to that of the sun in splendor."
Traditions of many peoples maintain that the Moon lost a large part of its light and became much dimmer than it had been in earlier ages.
The memory of a world without a moon lives in oral tradition among the Indians. The Indians of the Bogota highlands in the eastern Cordilleras of Colombia relate some of their tribal reminiscences to the time before there was a moon. "In the earliest times, when the moon was not yet in the heavens," say the tribesmen of Chibchas.
Traditions of diverse peoples offer corroborative testimony to the effect that in a very early age, but still in the memory of mankind, no moon accompanied the Earth.
At that point in time, before the Deluge, there were two suns in the sky: the Moon was the second Sun, both stationary at the spring equinox point, one for each semiplane.
My concern is with this quote:
In Thrace we have the following account: there is a period at the end of which the sun, moon, and all the planets return to their original position.
Where exactly was the original position? At the equinox.
There are three possible scenarios, the third one is the most startling:
I. The sun will rise from the west (either after the equinox, a total solar eclipse, or at the solstice) and set in the east, while the inclination of the solar disk would be modified for a colder climate. Not a real reset.
II. The displacement of the sidereal zodiac (and of the solar orbit) will be sudden, taking place at one of the tropics: Gemini will be seen at the vernal equinox point again. Of course, the sun will rise from the west. Again, not a real reset, but we are staying within the boundaries of the two tropics.
III. The third option is absolutely startling: the sun's path will reach beyond the Tropic of Cancer and will travel forward to the North Pole. This would truly be the fulfillment of the concept of a western sun. How long would it take to reach the NP? Some six months. Then, once it reaches the NP, the displacement will be sudden, and the sun's orbit will be a beeline for the southern winter solstice point (or for the spring equinox). Otherwise, at the current westward precessional rate/shift of 1.5 km/year, it would take some 3.5 years to follow the circumference from the NP to the winter solstice point.
Right now, the orbit of the sun looks like this:

Rotate the tropics of Cancer and Capricorn by 23.5 degrees, and we get the upper and lower bounds for the orbit of the Sun on a flat earth.
This would be the most astounding phenomenon: for the sun to follow an orbit which would take it beyond one of the tropics.
As for references:
صلى الله عليه وسلم said, "Hasten to do good deeds before six (things happen): Rising of the sun from the West..."
صلى الله عليه وسلم say, 'The first of the Signs that will come is the rising of the sun from the place of its setting and the emergence of the Daabba to people in Duha (later portion of the morning before noon). Whichever of these two (signs) occurs before the other, then the other one will occur immediately after it."
صلى الله عليه وسلم say, "Verily a night equivalent to three of your nights will come upon people. When it comes, those who engage themselves in worship during the night will recognize it. A person will stand in prayer, read a section of the Quran and then go to sleep. Thereafter, he will wake up, stand in prayer and read a section of the Quran, then go to sleep. While this condition remains, the people will begin to shout, scream and call one another. They will say, "What is this?" With fear, they will run to the mosque. To their surprise, they will see that the sun has risen from the West. When it reaches the middle of the sky, it will return and set in the West."
The Vedic cosmology informs us that the dome receded from its wonted place by 100 yojanas (1000-1500 km): the change was sudden, the Great Bear came bowing down.