Question on Centralized Procurement (with BUs across ledgers) and Invoicing+Payments in a common led

Summary

We are planning to use Multiple ledgers in US to separate the Joint ventures vs the main entities by managing them in separate ledgers. But we would like to create a shared procurement services

Content

I have a question on Shared services procurement with the below scenario that we are trying to accomplish. Could you please let us know if this is possible or if there's an alternative on what we are trying to accomplish?

Here is the Scenario

Problem Summary
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Trying to setup shared service procurement and not able to select proper Bill-To on the Supplier Master