Beginning on March 1 each year, and until the Board of Supervisors adopts the annual salary appropriation ordinances, there shall be a subcommittee of the Budget and Finance Committee consisting of three members. Unless otherwise designated by the President, the members of the subcommittee shall be the full-time members of the Budget and Finance Committee. The subcommittee may consider any matters assigned to the Budget and Finance Committee except the annual appropriation and salary ordinances or the Mayor's budget instructions.