Returning defeated to something old and familiar
What is a good English expression for returning defeated to something old and familiar after trying a new and challenging thing?
For example: After you spend a year in New York City, you will come back _________ to the good old Midwest.
You'll come crawling back:
come/go crawling to: to go to (someone) for help or approval in a way that shows one is weak or sorry for what one has done
Merriam-Webster
Here's an example that's very close to yours:
The old men sipping coffee at the local diner like to say, “You’ll come crawling back home soon enough.”
I Left My Small Town And Never Came Back
"with your tail between your legs"
Collins Dictionary says:
If you say that you have your tail between your legs, you are emphasizing that you feel defeated and ashamed.