Go with the Intel chip, if you are going to have discrete (non CPU) graphics. Intel's previous offering smashed the 8350 pretty badly, and the Haswell (4xxx series) update reduced power consumption significantly.
All Mid-Tower or Full-Tower (ATX) cases can be expected to do what you need them to. Make you choice based on preference. I'm not wild about tool-less setups, but these differences are base purely on personal taste.