Typically I throw down the lightly buttered English Muffins on the griddle on the lesser-heated parts. I put the frozen hashbrown patties on the heating elements and cook my eggs--4 whole for 6 of us--in a separate very small pan one at a time I cook the eggs and "fold" them as they do in the fast tood places.
Assembly goes quickly once your muffins are toasted. Flop on the chese, meat, egg and hashbrown, then wrap in a paper towel or tinfoil.
While this seems like a time consuming way to make breakfst, if you use an electric griddle it is very fast and can be left unattended (to some extent).