I can't think of anything that will have a sub-2" blade, that will be thicker than maybe 3/32", or maybe at the most 1/8". Any thicker, and you'll run into a lot of friction & resistance when cutting.
There are some itty-bitty last-resort type fixed blade knives out there, but I think that's about it. These folks may have something:
If you look in the Knife Makers Discussion sub-forum, you'll find any number of makers who could make what you need.
thx - cpr