my wife has life membership of the lawn tennis association, as a result we get to apply for tickets each year. but, we have to list in order the days we want to go, ie mens final, womens final, middle saturday etc. even thought the membership lets us beat the rest of the public, we still have to be placed in a ballot and usually don't get our first choice.
Although, I would say, whilst the final is what everyone wants, we generally try to go for the middle saturday as you see more tennis.
try asking at your local tennis club that is registered with the LTA , they might be able to get you tickets.