Digital BW, The Print

I have a 35 mm camera and I want a cheap way of converting my film
To digital.

Here is what I would think would be the perfect solution.

I snail-mail my undeveloped 35mm film to a processing center that 
develops it and digitizes it and lets me login online and download 
the digital prints. (no paper prints).

Does this type of service exist, or is there a better cheaper way?

Thanks.