One thing that could help is to get rid of mats that are just used to make other mats. For example, I see that you have Moko Grass and Hempen Yarn listed. No need to keep that Moko Grass, as it is only used to make the yarn you already have, so just stock the yarn. Or when you start leveling BSM or ARM; Instead of keeping copper and tin ore, just make them into Bronze Ingots, and only stock ingots. Also, make items as you need them. Need hempen cloth for this recipe? Just make it with the yarn you have stocked. Need bronze rivets for this? Make them out of the ingots you have stocked.

I know it's not perfect, and more space would be nice, but this method has helped me a lot.