And you can't mix SE and LVD on the same bus.
Yes, you can - it may or may not be smart though. A SCSI bus with a single SE device connected to it forces the bus to SE electrically: all return lines are grounded. Unless any of your LVD devices has a problem with SE in general (some - rare - are LVD only, not LVD/SE), everything is fine at UW speed (unless cable length for that mode is exceeded). Since the CSPPC is SE to start with, there's little to gain by forcing SE somewhere else.
On some PC HBAs there were even SCSI bridges to get an SE and an LVD domain in a single bus (e.g. AHA2940U2W).