Thanks for responses! I'm trying some of these techniques right now.

The concept I'm thinking of here is how you can take a fairly small printed photo, scan it at a high DPI, and end up with a useable larger image. However, if you were to take the same small photo file (with a low resolution) and try to upscale it digitally, you would probably end up with pixelated trash. So is there a way to use the same concept to "scan" low res VHS footage at the video equivalent of a high DPI?

Thanks guys. I went ahead and embedded directly from Youtube/Vimeo like you suggested. I ended up only using pieces where I did 100% of the editing (because I'm a bit paranoid) and have had a nice response to my work, prompting several job interviews.
Cheers!