I once ran a bunch of "zombie" SCSI drives (+controller) in a raid array using a non-mobo PSU by jumping the connectors with a switch. It worked just fine for many months (and acted like it would have kept on working). Really silly-looking; I ripped the controller and drives from an old Dell server, but since the Dell PSUs are nonstandard (and I couldn't match the connector to the SCSI board) I had to have a regular PSU for the mobo and keep the Dell PSU running as a zombie for the drives.
Worked fine for months. It's probably overkill as mentioned, but you should be able to do it no trouble.