My nephew needs me to build him a desktop so he can play minecraft

doesnt need a graphics card (integrated graphics are fine) but if i could get one with hdmi that would be nice
his budget is 300ish $ - 350 max
he doesnt need a dvd drive, a license key, or a HDD (if i could snag a cheap ssd that would be nice)
preferably from newegg/amazon if possible?
thanks for your help guys