The DS380 specifications indicates it will work with DTX boards. The E3C224D4I-14S is well within the 9.6" max width spec for DTX (it's 8.4" wide). In addition, it looks like the mini-SAS connectors are just ahead of the 2 SATA connectors ... NOT on the extended portion of the board.
Why don't you think this board would work ??
I was able to make a ASRock E3C224D4I-14S work in the DS380 case with some new motherboard standoffs mods.
https://www.reddit.com/r/buildapc/comments/3minso/build_complete_smallest_12x_drive_diy_nas/