"Dropping" schema names isn't possible. The schema and table names are both required to properly identify tables in SQL server(or other RDBMS). Basically, it is possible to create multiple schemas in the database and name DIFFERENT tables, one in each of those schemas with the same name. Only the schema name provides the required disambiguation. You could have, for example username1.Accounts_Payable and username2.Accounts_Payable. You have to refer to the schemas to know which is which.
However, it is possible to alias the linked tables in your Access accdb in any way you want (provided of course you follow the rules for names).
That means you can simply click on the linked tables in the navigation pane and rename them, leaving off the schema:
E.g. the linked table called username1.ACCOUNTS_PAYABLE can be renamed ACCOUNTS_PAYABLE_Joe and and username2.Accounts_Payable could be renamed Accounts_Payable_Mary.
With an alias name for your linked tables, Access and the ODBC connector know that the "real" table name is username.ACCOUNTS_PAYABLE, but treats it as ACCOUNTS_PAYABLE locally.
I'm afraid I don't recognize the acronym you use for this linked DB. What does BBj refer to?