I don't think you can run a total of 4 monitors. According to http://downloadmirror.intel.com/23089/eng/D54250WYB_D34010WYB_TechProdSpec06.pdf 3 should be the maximum number.
Take a deeper look to Desktop 4th Gen Intel® Core™ Processors Datasheet, Vol. 1 from chapter 2.5 .
Thanks for the reply Wolf666, I am pretty sure you are right after having a look at those sources.
Does anyone know if HD6000 graphics options are any different?
does intel offer and discreet graphics options which might fit the bill for my NOC solution?
these NUCS: https://www.xi3.com/desktops/xi3-nuc
RougeNUC I personally own the NUC5i3RYH, the i5 version is equipped with HD6000 but the limits are the same: http://downloadmirror.intel.com/24565/eng/NUC5i5RYB_NUC5i3RYB_TechProdSpec01.pdf and 5th Generation Intel® Core™ Processor Family Datasheet Vol. 1