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In this case, the Intel® NUC Kit NUC6i7KYK is a good choice for video editing; in my case I would use 32GB of ram, this is for not to worry about lack of memory but 16GB of ram should work ok.
With the Skull Canyon you can use resolution up to 4096x2304@60Hz as you can see here:
Of course, the Intel® Core™ i7-7700 Processor can work perfectly fine for you and this will be your decision what you prefer but this also support up to 4096x2304@60Hz resolution, you can check details here:
Also, make sure you check the minimum system requirements for the video editing software that you will be using.
For SSDs compatible with the Skull Canyon you can check here:
Tested Peripherals for Intel® NUC Kit NUC6i7KYK
For memory compatible with this NUC you will see it here:
System Memory for Intel® NUC Kit NUC6i7KYK
I hope this can help.