Hello!! I just built an itx pc for my dad for general office use: Microsoft Word/Excel, internet browsing etc.
The case is inWin chopin pro and it can fit an AMD stock cooler. The only catch was that I had to remove its plastic top off to reduce its height.
I went for 5600g because the price combo CPU+MB on AMD was cheaper than Intel in my country.
ironically, you could go to a corner and use your TNT blocks to block its line of sight.