Thank you for joining the Intel communities.
I honestly have not seen this issue before with the Intel® compute stick, what I can recommend at this point is to access the BIOS and under configuration set the power mode to performance and set the power state to always on.
This is what I did at first. I also found this was probably the application related problem, as not every game affected.
Just in case- have you try with different HDMI cable, High quality cable?
Try contacting the game manufacturer for further assistance, maybe they have seen issues like this before and they could provide you with some assistance.