I hope this message finds you well. I am a licensed attorney with over a decade of litigation
experience. It is a pleasure to assist you today.
The short answer is, yes, this can be pursued for tortuous interference. That said, it is not a particularly strong case. In the same way that product ratings and reviews on displayed on many e-commerce sites, this is somewhat protected speech. What separates that scenario from this one is that you have not opened yourself up to this by giving consent to be "rated or reviewed".
You are going to need to be able to show a court that you have been targeted and that it has cost you business, i.e., it has caused you damages, or more likely than not has caused you to lose business.
You will need to be able to produce these list and need to be able to put forth witness testimony
from someone that formed a negative opinion about your business as a direct result of this blacklist. That may prove to be difficult, but is certainly not impossible.
You may also be able to get a preliminary injunction against these people in the mean time while this is litigated to prevent them from doing it until the court reaches a conclusion on the merits of your claim. In order to do this, you need to place them on legal notice with a certified letter and a return receipt. You need to be able to show the court that you attempted to prevent this without the court's involvement.
Let me know if you have any other questions. If not, please rate my answers positively.
Best wishes going forward!