When the process creation right is restricted for PMs, BAs and PCs only, there should be a way to grant process creation right for specific users (typically Process Experts) for specific process groups.
It should work in the following way:
In Admin>Manage Groups you select the desired process group.
In Process Stakeholders there should be a new section e.g. Process Creators.
PMs should be able to add specific users to this section and those users should be able to create a new process in this process group.