Good visualisation of high dimensional data is almost all about the mental model and mapping of dimensions, barely ever about the library. ggplot2 is excellent for displaying high dimensional data in R if you can reason well about your own data. If you can't, no library is going to save you.
If you present an example of high-dimensional data I'd be happy to help you reason about how to visualise it (although this is perhaps better suited to StackExchange).
edit: if you feel you need 3D, you've already failed to represent the data clearly
I took a visualization course and to paraphrase the prof. you have a 3d object projected onto a 2d (display) plane and reasoning about depth gives additional mental load, not to mention occlusion. You have to interact with the model a lot to get a view you want. The course was based on old papers about UX with a dash of cognitive science, so take it with a grain of salt.
