Hi!
So, spores are EVERYWHERE anyway. The reason we don't see mushrooms everywhere has to do with conditions. If you make your basement the ideal mushroom growing environment, including the walls, you will have a problem. If you keep your mushrooms sealed and separate, let's say in a garbage bag, then there won't be a problem, no matter how many spores the mushrooms give off. Now, as to the health of bringing in a bunch of spores in an enclosed space, I'm not sure about that. You may be able to grow out the mycelium in the basement and move them to an open-air environment during spawning, or harvest prior to spore ejection so we may never need to
answer the health question.
Good luck!