To answer the question you actually asked: try Project Wonderful, which works very well for small publishers. 300 hits per day should get you some reasonable ad prices.

However, I'd also suggest looking into alternative sources of funding, or alternatively just treating it as a hobby. Also note that numerous video downloaders already exist; "send to Dropbox" does not necessarily make yours stand out, and it will cost you quite a bit of bandwidth.

You might also look into hosting which provides unmetered bandwidth, such as gandi.net.