I'm not sure if the Crosscheck's dropouts are long enough to use the Dingle cog without a second chainring. I've known people who've run the dingle with 2 chainrings in the front, it seems to work alright, and gives you about a 10 GI swing.
Otherwise, have you considered the S3X hub? Fixed gear, Three speed IGH. Skidding not recommended.
I'd just set it up with 55 GI or so and go.