Smoking odor can be a really difficult problem. With the amount you have, whatever you decide to do will be a bit of work. Washing would be the best solution, however, keeping the odoriferous fabric from the clean fabric is necessary. The problem is smoke infiltrates every inch. Our daughter stored tons of boxes in our basement that she had packed for years and she is a heavy smoker. After the boxes were removed, it took me weeks to get the smell out of the basement. I used the odor remover containers from Menard's and I also bought a gallon of "Odo-ban" from Sams.
My last suggestion is to separate into like piles and take to the laundromat and use the large washers and cold water. I know this is a ton of work but think of it as a job and how much money you are making by not having to buy all this fabric. Good luck. Let us know what you decide and how it works. Others will surely have this problem. Yolanda Wood Lake