Nikon D3300 users: we may have a solution for your tethering needs. We’ve now seen a few reports of users having success tethering (scroll down to the comments) their D3300 with digiCamControl software. And good news, it’s free. Now for the sad news. Unfortunately, it’s only for Windows (sorry Mac users).
The digiCamControl software is actually pretty neat. It has a webserver function which allows for remote control of the application functions via a web browser on a smartphone or tablet. That basically means you can fire the camera via your photo or tablet. There are a number of other features to check out. There may be a few issues with certain features specific to the D3300, but if you have a PC and a D3300 you might as well give it a try since it is free.
UPDATE: Smart Shooter 3 also appears to support the Nikon D3300. See more posts about Smart Shooter.