Thanks for the quick reply. I went over to the suggestion box link you provided and added my FOR vote to the items listed as "Allow bulk (batch) adding of domains" and "Allow registering multiple domains at once." Hope that covers it.
DH support was also super quick to reply to my query, as well, so here's the direct response from DreamHost Support, at least for now:
Unfortunately we don't currently have any means to allow for bulk registrations or transfers. I apologize for the inconvenience that this has caused you. Please don't hesitate to write back if you need help with