Help with a bathtub clog?

I have a severly clogged bath tub. It had been draining slowly and I finally decided to use the little hook we had to pull out the hair around the drain ( we have a foot lock drain). After removing a large clump of hair and **** I expected the drain to start working properly but it actually got worse. I've tried Drain-o and plunging it to no avail. No other drains in the house are having problems so it must be in the drain leading out from the bath tub. Today I bought a hand crank plumbers snake and attempted to put it down the overflow but I hit the bottom of the pipes before I hit a clog. Does any one know how to force the auger to turn around the pipe? If that's not possible, is it possible to find a section of the pipe I can access? The bathroom is directly next to a closet with the water heater, but it's an apartment so I can't get into the crawl space or any basement area that would be of use.