I think the shortest Octalink BB is 109.5. I'm guessing you won't have a perfect chainline... well- it might be OK, but it won't be excellent.
Frankly, there are all sorts of decent cheap square taper BBs that come in every conceivable length- and will open your options.
If you insist on using your BB, you could obviously use a road crank, and whatever 130BCD chainrings you can find.
I'm a bit confused at your reference to a "fixie specific crankset" when your BB is designed for the road. Many people don't use a fixie specific crankset, or even chain...