Zip-It -- and here's a site where you can see examples of things people dragged out of their drains, should you for some reason wish to do such a thing.
I got a regular snake-type thing, but it's doing me precious little good. It goes only so far in the bathtub piping, then just stops. It's not twisting at a clog, either.
Zip-it's primarily for grabbing hair and similar. If it can reach something snaggable it will try to snag it. (If it doesn't want to come out, wiggle it a lot. The packaging recommends eye protection in case
On the other hand, they should go for less than $3 apiece at least they do here, granted I've heard Florida grocery prices are ridiculously high so who knows about gizmos anyway it might be worth a shot.