I am just bought my first intel stick It is a STK2M364CC. I working on building a motorcycle touch screen computer. Basicly it will run android x86 and have an app that will run apple car play. I have everything up and running.
But running into an issue. I am using a 5" touch screen resolution is 800X480. If i have stick plugged in to the screen it wont post.
If i pull it out and restart it. It will post then i can plug it in and will see the intel screen. It will boot fine.
Seems something to do with bios detecting the screen.
It post fine when in my tv. I think it has to do with screen resolution
You might want to try a different HDMI cable, I have some cables that will hang the grub bootloader when running Ubuntu. I also saw mention of this online. I have one cable with ferrite cores that works better than my non-ferrite cables, it works most of the time but it will still hang every once in a while. I don't know if this would apply to android x86 but it might if it uses grub.
EDIT: I just read your post again and it sounds like you may be plugging the Compute Stick directly into the screen without a cable. I guess you could try inserting a cable to see if that helps also.