Simply buffer the data via a special page you make, for example: getvideo.aspx?videoid=nnn
using the page as a stream proxy.
In the page you stream the data as any file, to the client setting the header mime type to video/mp4 and making sure it's in 8-bit binary format.
Then you simply set the page as video source to the element:
HTML:
<video width=640 height=320 autoplay controls>
<source src="getvideo.aspx?videoid=123&type=mp4" type="video/mp4">
<source src="getvideo.aspx?videoid=123&type=ogg" type="video/ogg">
Sorry, no video support in the browser you're using.
</video>
Note that not all browsers supports the MP4 file format. You might need to consider allowing a fallback format such as OGG and WEBM.