It should be noted that it would be impossible to get 250 MB/s from all four drives bays of the Mac Pro simultaneously (such as with a RAID0) since the south bridge is limited to PCIe 1.0x4 (1000 MB/s). I think 200 MB/s might be doable though. Actually, another thread says 660 MB/s total is the max which is only 165 MB/s per drive.You mean SATA II (3Gb/s = 300 MB/s; SATA III is 6Gb/s = 600 MB/s). The speed of the WD Black HDs are slower (202 MB/s for 4TB drivers, 227 MB/s for 6TB, according to their specification sheet pdf) than what I measured for my MacPro3,1 SATA II ports (268 MB/s). So, like I said in #2270, the drives are not currently limited by your MacPro5,1, so you probably won't see an improvement in a different enclosure.
Anyway, your RAID5 was significantly below 660 MB/s at 390 MB/s so I don't think the south bridge limit is a problem in that setup. I am not sure what the overhead of RAID5 is compared to RAID0. How much actual data (including parity) is being read when a benchmark says 390 MB/s for a RAID5 array?