My whole thing was portability & speed of setup. Hunting around for tiles in the box was taking too long; it was eating into play time & people have to get up early for work etc. We can bust out multiple quests in a night now.So I picked up a Plano 7771 tacklebox. It works pretty good, is secure, and unlike the game boxes I can see where everything is without opening the trays. The only downside I can see is if you are all about painting up your minis to a high standard, with grasses, sand etc, you may want them individually slotted in foam or something. I've only finished a few like that and keep them up top; the rest are still unpainted so it's all good.
The map tiles are in labeled ziploc folders inside a big D-ring binder.
I really like the solution you have with the tackle box. For the trays with the tokens, cards, etc, did you physically alter the barriers in them to make the cards fit? I was looking in the store at them and it didn't look like the cards would fit.