Hello Kyle, I have sometimes the same Problem with water buffalo hide, wich sometimes is in good measures available but sometimes not.
make yourself a thin blade, width about 1,5mm, and grind it nearly paper thin.You take the piece of leather just as big( a little oversized of course) as you need for the job.Slice it from the corners first and turn it round while slicing that you cut the center at last.this has not to be clean at all, because than you take a fresh Grit 40 belt and grind it to your needed width.works very good for me and maybe for you too.