I've been considering this myself --- currently considering:
- Festool 498660 Sys-Roll Systainer Cart
- Festool 500076 SYS-MFT Tabletop Systainer
and an assortment of Systainers organized by tool / job type to bring that up to a reasonable working height.
It's a big investment though, and I share your concerns about digging through the stack, but I'm hoping that organization will ameliorate that as an issue.