The Sterilite bin is just going to frustrate you. My situation was similar to yours last year--started with a 100ct & a 50ct for cc's. For about $15, I picked up a 28qt Coleman cooler at WM. It holds about 5-6 boxes stacked (mostly because it's narrower at the bottom than at the top) with lots of additional room for bags & singles stuck here & there. It's not fancy, but it works--even much better than my desktops. The wife hates it because it's blue and sits in the corner by the piano. Oh well. I think it looks great with all my CA & herf crew stickers.
It's not even half full, and I've only had to recharge my HF beads just once in the past year. Holds humidity like a champ.