The Rio Grande pueblos were in turmoil after the success of the Pueblo Revolt of 1680. That turmoil was aggravated every time the Spanish came back, and they came back in 1681, 1688 and 1692, each time attacking and burning the pueblo of Sandia. It didn't help either that the other pueblos assumed that the Sandias had been friends of the Spanish because the Spanish stopped at Sandia in their retreat from Santa Fe in 1680. Of course, as the Spanish retreated from New Mexico, they took prisoners and loot and burned the pueblos as they were passing through.
In the aftermath of the Pueblo Revolt and after each succeeding attack, whole clans and familes left Sandia and made the journey to the Hopi mesas where they hoped to be beyond Spanish control. And they were, for more than 60 years. Then the Franciscans came back.
On the Hopi mesas, the Sandias were allowed to build a pueblo on a finger of Second Mesa. They named the pueblo Payupki, River House. Construction began in the early 1680's and continued for about 20 years as new families and clans from Sandia arrived.
The Spanish authorities in Santa Fe had no interest in sending troops on a long march across the desert to Tusayan, they had enough problems in New Mexico. The Franciscan fathers, though, they couldn't let it go. So in the early 1740's, a couple missionaries made the trek to find where the missing Sandias went to and try to convince them to come back. Their timing was good: there was strife happening between Payupki and the nearby Hopi settlements of Mishongnovi and Shipaulovi. They were able to convince most of the Sandias it was time. By 1780 Payupki was completely abandoned and never reoccupied.
Early on in their time at Payupki, Sandia potters had been learning from the potters at First Mesa. They got really good at their craft and made a lot of pottery, so much that the ground around the ancient ruin is still littered with pot shards everywhere. The people of Payupki had evolved their own design vocabulary and built on what they learned from the potters of Walpi and Hano. What they left behind was a multitude of new designs that have now been entered into the Hopi lexicon as "Sikyatki" designs, primarily because they were used by Nampeyo of Hano in the late 1800's and early 1900's.
The potters of Payupki also seem to have used a puki similar to that used as a base to work from by many Zuni potters. There's little known about their migration from Sandia to Payupki but it appears that some of them stopped at Zuni for a few years along the way. It was pretty customary in those days for long journeys to be made between known water sources. Sometimes a group would stop for months, planting and harvesting a crop before moving on. Sometimes that stop might be for several years, and they'd build some kind of structure on the spot. Sometimes pregnant women would layover at a pueblo along the way, until they were ready to travel again. Sometimes the ritual specialists accompanying a clan migration might be invited to stay somewhere else along the way.
A big question that comes up in this is what happened to those Payupki potters who made the journey back to Sandia? Those journeys didn't take years. Led back to the environs of Albuquerque by the Franciscan fathers, they were over in a couple months. And then it was years before Sandia Pueblo was safe and inhabitable again. Sandia pottery has never reached that quality or plethora of design and styles since.