I think intuitive explanations of physics are awesome. Though, there already seem to be several pretty great ones on the internet for special relativity. For example, see here, here, and here.
Are you aware of these other explanations? What would you do differently/better than them? Maybe there's another topic not as well covered, and you could fill that gap? (These are just rhetorical questions to spark your thinking; no need to actually answer me.)
If you do pursue this project, then do let us know. Best of luck!
(Disclaimer: I'm not a physicist. My university work is in mathematics and cognitive neuroscience, not physics. So take my judgment about what constitutes a pretty great explanation of physics with as much salt as you like.)
Of all the youtube videos on the subject this is the best.
In a nutshell: I'll go into more depth, there will be no video, and I'll focus on world lines, Minkowski style. Slightly less nutty: While those videos are easy snapping, I don't think they actually do the topic any sort of justice. Actually the minute physics one is good, notice its use of world lines :D. It also passingly mentions invariance of distance in Euclidian space.
Right now my outline is roughly
How to interpret world lines. c=1 and time in meters or distance in seconds. Inertial frames a
If it's worth saying, but not worth its own post, even in Discussion, it goes here.