I'm amazed you have been playing a 4e campaign without miniatures or battle maps!
I'm always happy to amaze, but on this occasion I think I've only confused. As is shown in the map at the bottom of the post, I use a map and tokens - it's just that (generally) my maps are handdrawn onto photocopied gridded paper (I draw these up on my daily train commute to work), and the tokens are mostly old boardgame pieces. If a module has a good fold-out map, I will use that, either for its own purpose (eg the homestead in Night's Dark Terror, the Well of Demons in H2) or repurposed (as in the Orcus temple described above).
In the photo, the multi-tiered tokens are the PCs (black: drow; red: invoker-wizard; yellow: dwarf; white: paladin; blue: elf), the cardboard is the hydra, the white ones with green edges are salamanders, the slightly raised black and red ones are archons, and all the flat coloured counters stacked on top or underneath are conditions markers (red: bloodied; blue, white - quarried by elf ranger, marked by paladin; orange - marked by dwarf fighter; etc). The dice mark the two ends of the Arcane Gate.
I would find 4e very hard to run without some form of visual representation.
Also, whose cheat sheet did you think I am using? I generally do my own MM3 damage conversions, and typically stick to whatever dice were used in the original monster.
EDIT: Ah, looking at the photo again I've worked it out! I have a whole lot of resources (eg Blackleaf's business card, and some random internet guy's cheatsheet) combined onto a couple of A4 pages that I clip at the back of my GM rules notes (other stuff in there - some houserule notes, my skill challenge guidelines, and photocopies of all the ritual descriptions). Stuff like that comes in handy from time to time.