Steveice10 has released a new version of FBI which allows you to install CIA files on a homebrew enabled Nintendo 2DS/3DS:
2.5.2
Fix URL installation.
2.5.1
Add option to mark installed TitleDB entries as updated.
Add option to sort TitleDB list by installation status.
Display installed version and date from TitleDB cache.
Remove CDN installer due to recent server-side changes requiring tickets.
Titles not present in the TitleDB installation cache are no longer considered as installed by the TitleDB list.
Fix inaccurate battery level icons.
Fix main menu updater getting confused by another TitleDB entry named FBI.
Fix main menu updater not updating FBI's TitleDB installation status.
Fix potential crash from trying to display unsupported text characters.