I'd probably go Intel for this, and would definitely get a GPU.
I wouldn't really say you should get the 270x you put in the Intel build you linked, but a 260x or even lower end would be good. It's more about getting a
GPU to avoid the integrated one rather than a great GPU.
As for the CPU, an i5 may or may not be overkill. If you feel an i5 is more than necessary, and a quad isn't needed, maybe picking up a Celeron would be a good option.
Take a look at this one for $40.
Compare the two
i5 4670: http://www.cpubenchmark.net/cpu.php?cpu=Intel+Core+i5-4670+%40+3.40GHz&id=1933
The Celeron appears to be around 1/3 of the overall performance, but it has half the cores.
The per-core speed is around 3/4 that of the i5 at 1/5 of the price.
The price difference right there would allow for an extra SSD or even a couple of HDDs.
One of the best things to prevent the need for any tech support is an automated scheduled backup and a simple lesson in showing them how to restore from a backup if ever needed.
You didn't really give us a budget, so maybe suggesting a Celeron was a dumb thing to do, but if you're looking to save some money it was worth mentioning IMO.