Is there any way to link incident with organization (without assigning contact to organization)?

Summary

Is there any way to link incident with organization (without assigning contact to organization)?

Content

Scenario : I am working for a retail customer who sell products online and offline store, they manufacture many products and took product from other organization and give branding and sell everything on their name, now when customer is selling product on their name they also responsible for any kind of service, my client wants a field where they can capture which organization manufactured that product which had issue. Later they want to make a report to understand how many incident created by organization.

I could have custom field for that but my client has 3000+ vendor so I don’t want to use custom field or system attribute.