Then don't require them to take any. I wouldn't choose this route myself. The complications are back-story/personal traits that really can give the GM hooks for the character, and provide a starting point to help the players role-play the character. At the lower point levels for Heroic characters (especially if you start out even lower), the required complications total will be low (to non-existent). If you're worried about something like Hunted when you want the characters to be unknowns at the start of the campaign, just say, "No." Same for any Complication, Power, Talent, etc. that doesn't fit the campaign.
Remember, anything that comes up during gameplay is just that. The characters don't magically get more points because they pissed off the King's Guard during an adventure and are now hunted on sight by them.