The problem with a trap out is that all the larvae, nectar, honey, and dying bees that are left in the structure will start to rot and smell like the dickens in a short amount of time.
Not to mention all the new bugs and rodents that will move in to have a free meal.
It can take several months for a trap out to be successful and it may never be successful (queen removal).
The best way is to remove everything. It's not real difficult to repair most eves. Best to call a local beekeeper to perform a total removal.