Your cheapest solution is to get an old studio flash system and use it in a dark room. Look for an old cheap studio flash (like a Novatron), the kind with a power pack and heads, not the newer "monolights" that have the power supply build into the heads (which would also work, but probably be much more expensive). Those usually came with modeling lights, which allow you to position the lights with constant lighting to get everything just right. Then, when you're ready to take the photo, you load the film, kill the lights, remove the lens cap, pop the flash, and replace the lens cap before turning the lights back on. These old studio strobes can often be found for dirt cheap, especially locally (as they're heavy and expensive to ship).
You could also build a guillotine shutter. It's basically a gravity powered shutter. They're not super accurate, but often good enough to get a usable exposure if you're not trying to push the limits of your film. You adjust the time of the exposure by adjusting the height of the slit.
Outside of those two, your best bet would be to buy a new lens with a shutter built into it. Barrell lenses are only really cheaper if you already have a camera with a shutter to use with them. The problem with using a ND filter or really slow film is you have really, really long exposures. Most people can't remain perfectly still for that long, so you'll likely get a lot of blurry pictures. I find it hard enough to keep people from moving out of focus in the time it takes me to load film, pull the dark slide, and snap the shutter on my view cameras.