There are several solutions. One is to hold the parade on a weekend when everyone can come out and be excited about their team. There's the Rose Parade every year, which is longer than the one mile route the Kings went on. People come from all over the nation to see that, and the city is able to accommodate it. There's also large events up in Hollywood every year like the Pride Parade, Halloween on Santa Monica and the Sunset Music Festival. The city somehow can take care of all these events, but can't have a simple, mile long parade on the weekend.
Another option is to skip a parade and have an event like the Kings rally in Staples center. However, do it on a weekend, or at night, in a place like the Coliseum, where over 90,000 people can be a part of the event. There are easily 90,000 Kings fans in Southern California who can fill up the Coliseum on a Saturday, especially if the event is free, as the Kings' was. AEG is part owner of the hockey team and Staples center so that likely had something to do with the locale, but the tickets were free, so they weren't making money anyway.
One huge benefit of having a victory parade or rally on a weekend is what is would do for the local economy. Think about how much money pours in for every USC home football game or even when the Kings were in the Playoffs. By holding the event on a weekday, businesses are getting a bit more revenue from people who wouldn't have otherwise been there, but if they have tens of thousands of more people there on a day when people are feeling relaxed then their wallets may be looser too.
The LA Times posted an article shortly after the parade, in which fans were interviewed. One woman, Meredith Gullion reflected the feelings of many fans. Writer Sam Allen reports:
“The celebration drew new supporters too, such as Meredith Gullion, who said she and her daughter Ella started watching the Kings only recently... 'Hockey is just something different. It's always cool to check out something new,' Gullion said. 'And I can tell you, after this week, my daughter is going to be a fan for life. The tears were running down her face when they won Monday.'”
There are so many fans out there just like Gullion and her daughter who are new to this team and this sport, which is comparably unpopular in southern California. Being able to go to that parade and experience the atmosphere and the fans is something both of them will never forget and now that little girl is a Kings fan. However, the casual fan who jumped on board, is fairly likely to forget the feeling come next regular season. Sure, they'll remember the run and the moment they won, but there won't be any kind of extra special connection there. They had to miss out on a huge part of the fan experience, all because they were doing their job.
One of the best feelings on Earth is the one when your team wins. One of the worst is knowing you won't be able to celebrate with the team you've poured your heart, soul, time and money into all season long. This can easily change. All that needs to be done is to change the event to a weekend. Sure, some people still won't be able to go, but thousands more will, and they'll be selling out the arena every game the next season, excited and ready to see their team do it again.