What options does one have when they reach the end of a car lease but cannot find a good deal at the time of it's end?

You play the hand you have.

Depending on your personal attachment to that car, your personal interest in a different car, your financial capacity, the ability to extend your lease is just another card you can play.

What is a "good deal" anyway? What are you seeking? Something pragmatic like equivalent reliability to your current car but for equal or less cost of ownership?