Thank you both for your replies. I attempted the disk move tonight, and as predicted, Unraid said the disks were missing when I booted and "Wrong" when I selected the appropriate disk.
I created a new config as recommended by @trurl, checked "Parity already valid", and started the array, then got the "Unmountable: Unsupported partition layout" on each of the disks (except parity) that had been connected to the previous RAID controller (now on the Dell H310).
When the system was booting, I believe I saw something flash by about the GPT layout sector something not being at the end of disk or something.
I did some Googling and couldn't find many useful hints at what to try.
Any thoughts?
Edit: Found this in the log:
"Alternate GPT header not at the end of the disk"
Dec 1 23:42:30 Hyperion kernel: ata4: SATA link up 6.0 Gbps (SStatus 133 SControl 300)
Dec 1 23:42:30 Hyperion kernel: ata4.00: ATA-9: ST3000DM001-1ER166, Z501REW5, CC25, max UDMA/133
Dec 1 23:42:30 Hyperion kernel: ata4.00: 5860533168 sectors, multi 16: LBA48 NCQ (depth 32), AA
Dec 1 23:42:30 Hyperion kernel: ata4.00: configured for UDMA/133
Dec 1 23:42:30 Hyperion kernel: scsi 4:0:0:0: Direct-Access ATA ST3000DM001-1ER1 CC25 PQ: 0 ANSI: 5
Dec 1 23:42:30 Hyperion kernel: sd 4:0:0:0: Attached scsi generic sg3 type 0
Dec 1 23:42:30 Hyperion kernel: sd 4:0:0:0: [sdd] 5860533168 512-byte logical blocks: (3.00 TB/2.73 TiB)
Dec 1 23:42:30 Hyperion kernel: sd 4:0:0:0: [sdd] 4096-byte physical blocks
Dec 1 23:42:30 Hyperion kernel: sd 4:0:0:0: [sdd] Write Protect is off
Dec 1 23:42:30 Hyperion kernel: sd 4:0:0:0: [sdd] Mode Sense: 00 3a 00 00
Dec 1 23:42:30 Hyperion kernel: sd 4:0:0:0: [sdd] Write cache: enabled, read cache: enabled, doesn't support DPO or FUA
Dec 1 23:42:30 Hyperion kernel: mpt2sas_cm0: host_add: handle(0x0001), sas_addr(0x5000000080000000), phys(8)
Dec 1 23:42:30 Hyperion kernel: GPT:Primary header thinks Alt. header is not at the end of the disk.
Dec 1 23:42:30 Hyperion kernel: GPT:5859352575 != 5860533167
Dec 1 23:42:30 Hyperion kernel: GPT:Alternate GPT header not at the end of the disk.
Dec 1 23:42:30 Hyperion kernel: GPT:5859352575 != 5860533167
Dec 1 23:42:30 Hyperion kernel: GPT: Use GNU Parted to correct GPT errors.
Dec 1 23:42:30 Hyperion kernel: sdd: sdd1