As video sites on the Web struggle to find a business model that will pay their mounting bandwidth and storage bills, many of them are trying to reinvent themselves. Veoh, which has raised a total of $70 million, had to cut 35 percent of its staff earlier this month and the site seems to be losing steam. Unique visitors are down 18 percent from their high a year ago to 15.2 million worldwide, and users of its desktop app VeohTV are down 40 percent to 7.2 million worldwide, according to comScore (see chart below).

Founder Dmitry Shapiro is now back as CEO and he is pouring the company’s remaining energy into a new product launched six weeks ago called Video Compass (read our review). Since launch, it has been downloaded 800,000 times, and is currently being downloaded at a rate of 25,000 a day. Video Compass may amount to a Hail Mary pass to try to save the company. It is an attempt to spread video search across the Web by bringing you search results when you don’t even know you are looking for videos.

The way it does this is through a browser add-on for Firefox and Internet Explorer that is triggered whenever you do a search on a growing list of sites, including Google, Yahoo, Amazon, Craigslist, Wikipedia, and even YouTube. In the past few days, it just added Twitter Search, MySpace, Hulu, DailyMotion, and Metacafe. Up next will be Flickr, Photobucket, and Facebook.