Why invite more than one referral partner?
This is an efficient way of finding out who would actually have the time and interest to work with your client.
By inviting several agents, you can move on to the next step faster. Otherwise, you can spend time selecting a referral partner, only to wait and learn it wasn't a good match.
If you don't really know who to invite to the destination location, then this is a great time to "Post a referral to the Market." All interested partners who work in that location will be alerted that your referral is available, and can apply for it.
Again, you are always in control of selecting who you want to work with.