Here in the Midwest, the only times I recall seeing staff bringing the bill with the food is in the city on weekdays during lunch hours. Everybody is short on time - the workers need to eat and get back to the job - and the restaurants have lines of people waiting to get in - so they have to turn over the tables quickly.
The other instance is intermission at the theater. If you order drinks or a snack they serve them quickly and collect payment immediately, before the lights blink and everyone heads back into the auditorium.
In general, the wait staff ask if they can get you something else, and if you say "no" then they ask if you are ready for the check. I would feel rushed if they were pushing the check at me before I was ready.
The other instance is intermission at the theater. If you order drinks or a snack they serve them quickly and collect payment immediately, before the lights blink and everyone heads back into the auditorium.
In general, the wait staff ask if they can get you something else, and if you say "no" then they ask if you are ready for the check. I would feel rushed if they were pushing the check at me before I was ready.