there were several "supercontinental" masses. Columbia, Rhodinia, Panggea (and its sub segments). Remember that the "plumes of mantle upwelling also migrate and this is associated with the ultimate plate movement.
Start with the old ocean (the Panthalassian Sea) and reconstruct how PAnge assembled itself. Ive seen several "models' as a field geologist. (We use these reconstructions to define possible "Suture" locations in which hydrothermal; deposits and fumarolic deposits of elements are concentrated possibly.
Still, the Best SOurce is the 2001 book "Continents and SUpercontinents" by Rodgers and Santosh(Oxford Press). Its written for structural geologists but is fairly easily read if you have a decent introduction to Physical Geology.
WRiting a book (Im assuming its a scifi) you can almost justify any configuration, like, for example. We know that the Afar triangle of the Horn of Africa will be a suture of separation that will make Africa unconnected once again. I think the most important concept for a scifi book will be the effect on CLIMATE .We know that during the Cryogenian Period, the circulation of ocean currents was so directed that the circumpolar "Strreams" had no strength to warm the mid latitudes. Also , during pre breakup of Pangea, we know that the huge landmass was substantially arid with monsoons and large deltaic discharge areas)
You don't really need to look at this as a spherical geometry problem, You can look at a map of the landmasses and anayze the circular pattern of a landmasses drift. Like Inida slammed into the belly of Asia from a center of
circulation" that was to the present SW. From an evaluation of orogenic belts and these patterns of suture, you will see that the planet has been so sliced and diced that projecting it to the near future is possible. Projecting it to , say 130 MM years, will be less accurate.
I think you should concentrate on the story and let science take its own course. Youll find that todays "scientific truth" will be debunked tomorrow.
Why not use the old theory of "Geosynclinal troughs" be the source of your landmasses. That would be moe originl to dispute present thought. Theres plenty of sci fi authors who poo poo almost everything that science has discovered(or else they relate these findings to extra terrestrial sources)