Well, you've learnt how to use blender far better than I have, since I can't figure out how to use it at all but the only other software I know of is K-3D, which is free, but I've never used it, and to be honest if you can use blender then it is probably better than any other free software, sorry

I'm not sure what you mean by 3D, but if you just want to composite/move images around in 3d space Apple's Motion5 is one of the easiest/most intuitive programs I've found (if you have a mac)

If you need to use actual 3D objects, AE with the element3D plugin is probably your best bet, but I believe that hitfilm4 has limited 3d file support as well.

A light version of Blackmagic's Fusion is also available for Free (limited to 1080p and no stereo video support) and it is extremely powerful (Fusion was used to do the VFX for The Hunger Games films) but not that easy to learn.

keep in mind that AE, hitfilm, and Fusion only allow you to animate/composite 3D objects, and you will need to create them in another piece of software.

Also remember to search YouTube as there is a lot of good tutorial materiel out there. 

“But the enterprise in which I’m about to embark on is fraught with imminent peril.”

Thanks everyone for your replies!

What I am mostly stuck on is that I cannot find a way to transfer the camera information (when animating camera movements in blender) to a compositing software like AE. I am not really sure if there is a way to get like the keyframe date from blender into something like a null object in AE.

I've been considering doing a few scenes like this for a Star Wars film I'm currently writing. I'll most likely translate it into a Brickfilm due to budget constraints. I'll be sure to check back on this topic and leave feedback or do some behind the scenes when I come to it.