Thinking about my setup, I never choke my ride, but I choke both main crashes.
I have 2 PinTech chokeable crashes, and a dual zone ride (bell & bow).
Using SSD, via MIDI, they have 2 sounds for cymbals, one crash, one as a choke and the choke cancels the other crash sound. So, it's easy to choke even from the Trigger IO.
This sounds like a limitation on the DM10 that shouldn't be there. Like the Trigger IO Ride input only allowing piezo / switch. Any individual input should be configurable to x y or z configuration - say dual, dual w/ choke, etc. That was you could configure all 11 DM10 inputs to be exactly the same, if you wanted 12 crashes with choke, you could. Of course the 100 presets would be useless then.
So, then, how do you access a crash w/ choke via MIDI? Because then I could set up all (except one, on the DM10) my choke crashes from the IO.