Right, that was a brainfart of a Moravian. ;) Similar rocks.

>Is it actually čke at the end of the word?

No, "cké" is correct. From "Teplice", a nearby town.

>The č is ts, not ch,

"ch" is the closest sound to "č" in English. (like in the word "check")

"ts" is usually how you'd transcribe Czech "c".

It's not that difficult to pronounce "adršpašskoteplické", I just did it fairly easily.

(and I don't know anyone who calls it that, it's called either Adršpach, or Český ráj.)