It is sometimes possible with valid parity to emulate and rebuild one drive at a time if the only issue is the partition offset. If the drives are up and reading properly in the RAID machine, and parity is valid, you could try to move ALL the array drives to the new machine, keeping the same assignments with a new config, then after Unraid shows all green balls you could pull one drive and see if the emulated drive mounts properly, if it does, rebuild to a physical drive.
However, this assumes you are using all the same drives, which doesn't seem like the case here, so your safest option is copying over the network from one server to the other.