You could try embedding StoryMaps in the ArcGIS Experience Builder Beta or you could use the new collections feature in ArcGIS StoryMaps (although this is very basic and you can't name the tabs...)
Hey Katie Gaut,
Just saw your post while browsing the Geonet posts.
Idea- Create multiple ArcGIS Story Maps and embed each in a Cascade Story Map section (with section bookmarks on). Alternatively add the separate ArcGIS Story Maps to a Story Map Series' tabbed sections.
I know these aren't ideal solutions but might be a plausible workaround until the story map team adds bookmarked sections to the new ArcGIS Story Maps.
Best,
Amanda