We went to South Korea last year, actually did Hong Kong > Seoul > Tokyo. It was a great trip, really enjoyed it. Do a DMZ tour. Went back to Hong Kong this week, actually posting this from the flight home. Hong Kong is a lot more "westernized" everyone speaks English and no problem finding food that an American would recognize! We took a ferry to Macau and spent a few nights there.
Singapore is also a great place to visit. Much like Hong Kong, English is prevalent and good food is aplenty.
I haven't been to Bryce Canyon, but have been to Zion - beautiful! I'm sure Bryce Canyon is just as amazing.
You'll enjoy both trips, really good choices.