Well, okay... detroit semi-deep dish. To me, it's at least sorta deep-dish... It's certainly deeper than the typical fast-food chain-store types of pizza. (I like those, too... just not as much as the really good stuff!)
I eat most Chicago deep-dish by hand, too. Fortunately for me, there are a few places in NorCal that serve this style... and those compare very well to the ones I've had much closer to Chicago, Giordano's in Des Moines, the westernmost of that chain that I know of offhand... and Tony's Chicago Style Pizza in Moline, IL.
I'll make my first-ever visit to Chicago next summer, and I can't wait to try what's reputed to be the Holy Grail of Chicago-style pizza, Lou Malnati's.
Best Detroit-style pie of this type I've had is the one they serve at Hudson & Packard in Poughkeepsie, but I haven't run across many of these pies in the wild.