Cheesburgers are a not hard to make but they do deserve good quality ingredients.
These burgers have a fairly strong pepper quality.
The Pickapeppa sauce - https://www.pickapeppa.com/about adds both additional pepper and some sweetness.
I learned about Pickapeppa sauce from the old Hippo restaurant on Van Ness in San Francisco. And I picked up the idea for the thyme in the spice blend from the movie “The Best Years of Our Lives”.
The cooking time will, of course, vary depending on your preferences as well as the heat of the BBQ. Take care, however, not to overcook the beef. The cook time below (8 minutes total on the grill) leads to roughly medium (or perhaps a bit more) cooked. If you like it more rare, remove a minute, perhaps two, from the total cooking time.