Fact table linked to Slowly Changing Dimension

I'm struggling to understand the best way to model a particular scenario for a data warehouse.

I have a Person dimension, and a Tenancy dimension. A person could be on 0, 1 or (rarely) multiple tenancies at any one time, and will often have a succession of tenancies over time. A tenancy could have one or more people associated with it. The people associated with a tenancy can change over time, and tenancies generally last for many years.

One option is to add tenancy reference, start and end dates to the Person Dimension as type 2 SCD columns. This would work well as long as I ignore the possibility of multiple concurrent tenancies for a person. However, I have other areas of the data warehouse where I am facing a similar design issue and ignoring multiple relationships is not a possibility.

Another option is to model the relationship as an accumulating snapshot fact table. I'm not sure how well this would work in practice though as I could only link it to one version of a Person and Tenancy (both of which will have type 2 SCD columns) and that would seem to make it impossible to produce current or historical reports that link people and tenancies together.

Are there any recommended ways of modelling this type of relationship?

(Note: I asked this question already on Stack Overflow, but realised afterwards that I should probably have posted it here instead)