For any office, nominations by political parties by methods other than a primary shall be made and completed in the manner prescribed by law according to the following schedule:
1. For a general election in November, by 7:00 p.m. on the third Tuesday in June;
2. For a general election in May, by 7:00 p.m. on the first Tuesday in March;
3. For a special election held at the same time as a November general election, either (i) at least 81 days before the election or (ii) if the special election is held at the second November election after the vacancy occurred, by 7:00 p.m. on the third Tuesday in June before that November election;
4. For a special election held at the same time as a May general election, by 7:00 p.m. on the first Tuesday in March; or
5. For a special election held at a time other than a general election, (i) at least 60 days before the election or (ii) within five days of any writ of election or order calling a special election to be held less than 60 days after the issuance of the writ or order. In the case of all general elections a party shall nominate its candidate for any office by a nonprimary method only within the 47 days immediately preceding the primary date established for nominating candidates for the office in question. This limitation shall have no effect, however, on nominations for special elections or pursuant to § 24.2-539.