I work in ship repair. Fume extraction on a ship is fun. The best method is to **** it at the source. My preferred method is a smoke eater. Plugs into 110v, basically a shop vac with really good filters.
For use in the garage though, I plan to rig up a fan with a suction hose. Use the flexible ducting for a dryer for the hose. Put a filter across the outlet of the fan for catching dust (to keep it out of the yard). It's not rocket science, should be able to cobble something together cheap and effective. Just need to move the dirty air outside. Make up air? It's a home garage, not a production shop. Fab the whole works up on a cart w/ 20' of hose or so. Roll the fan outside, crack the garage door, and slide the hose under the door into the garage.