If the stuttering is happening with the eGPU, this may be worth reporting as a Fedora bug. We do not actively have the cycles to test against eGPUs.
That said, I had worked on program for eGPU using the same concept as what you would find with Ubuntu MATE. Unfortunately, time has passed and I have shuttered the project for the time being.
Being as Martin Wimpress is not just the leader for Ubuntu MATE, but also contributes to MATE in general, you might give this a whirl. The OOTB experience likely translates to it as well assuming the eGPU enclosure is using a NVIDIA card.