Ok, that's good enough. I can just make out the rim of the drain in all that mucky water. I'd suggest you take up @stoners idea and get yourself a 'snake' as he calls it, along, flexible coil that you can run into the drain. You'll find them all the DIY stores. Bung some liquid drain cleaner down first to loosen the gunk a bit.
It may work, it may not, but it's cheap enough to give it a try. I've cleared shower drains using this method.