I got a copy of LTSB 1507 and installed on my NUC. My initial impressions are that compared to an 18xx install on a different machine I have, the 2015 version definitely looks more comfortable.
It hasn't been connected to the internet and the resoluton seemed to be stuck at 800x600 for some reason, but it was using the MS Display Adapter.
I still felt heavy eyes after about 5/10 minutes.. I have a feeling in my case this is a h/w issue, as 1) This NUC is much newer hardware compared to your working laptop, and 2) I believe internally it's using a DP>HDMI converter which may have something to do with it.
Even comparing BIOS/Splash screens on my really old PC and the NUC.. The 'Intel NUC' splash is a much harsher (bluer?) white compared to the old 2010 PC I have which seems much more milky white. This may have some influence in the symptoms I am having.
If I can find your laptop for a reasonable price in the future I will be sure to give it a try though 🙂.