I use Lacerte; therefore, I may be barking up the wrong tree.  In so, I'd really have to blame in on Joshua.

In Lacerte, I can enter the Foreign Bank Account info for Part II for a blank interest item.  

In you example, your entries were for Bank of China.  But in your software, can you enter the bottom (foreign bank) info for a blank interest item?

I have clients with dividends income only in a foreign broker account.  I would enter the dividends in Screen 12 and Sch B Part III info in the Interest screen (Screen 11).  Sch B Part I and Part II would be blank and part III has the info with a statement of the countries entered under the blank interest items.  (Yes, in Lacerte, the Part III info can be entered to multiple blank interest items.)

I hope this helps.