i replaced one in this system not too long ago for a client and had no issues with a standard atx psu fitting. only problem i had was the fact that the hdd's are at the bottom of the rather tall case. the sata power connectors were not long enough to reach all the way to them if i tried to route them the way they come stock. i ended up using an extension i had sitting around to be able to run the cables nice and neat and still reach the bottom of the case.
might look into some extensions when getting the psu or see if it already comes with super long sata power connectors to avoid having to run them straight across the mobo to reach.
other than that, there were no problems.
i also run one of these myself as the kids play machine. you can do a lot with that psu if you are looking to upgrade the gpu. a nice gtx 960 can be easily handled by that 375w stock psu. i have an r9-270 running in mine and have not had any issues with the stock psu.