I don't think this will be hard to accomplish. The only reason I project it to take 8 days is based on your own parameters of seeing 30 seconds a day of editing for a total of a 4 minute video. I could probably get it all done in a few hours, but I will gladly follow along with your request.
My background: I'm a web developer, photographer, and videographer. I've been shooting and editing digital video as a hobby for a few years now, and shooting and editing photos even longer. My formal education is in Biology and English. I put together a short film for an English class, and my history in biological science allows me to work in a structured and logical manner. I edit film with Adobe Premiere on a Macbook laptop. If requested, I can show you a video or two I've shot and edited in the past (never anything quite like the example video you posted, but I don't see that as being a problem; the process is always basically the same, and I can follow direction to your liking with ease).
Below are the proposed milestones for the project.