Reply to 16+ slot sampling program / VST besides full version of Ableton? (student budget)

Hey guys so this may be a stupid question but I was wondering whether there's a reliable third party program or VST or app or something out there for instantly triggering one shot samples without any restrictions as to how many can be triggered at once? For instance I know you can trigger samples in Traktor remix decks, but then you're limited to four samples at a time and you can't combine samples in the same column, which makes it impractical for finger drumming.

I know you can do this sort of thing with Ableton drum racks, which would be ideal. However, short of coughing up $379 for the full version of Ableton (rocking the launchpad edition right now) does anybody have any more economically feasible suggestions? I'm a full time university student with a tiny budget for hobby software.

Cheers