You did not indicate a car or an SUV or a minivan. Since you wrote "Trunk" I am going to assume you meant a sedan as a hatchback or SUV does not have a trunk.
For cars, a large trunk can be had in a Toyota Avalon, Chevy Impala, Kia Cadezna, or Hyundai Azera. That is in order from most to least reliable (but all four are very reliable as Toyota is solid, that GM platform is one of their best, and the Kia/Hyundai architecture also has a solid architeture here).
The Avalon's trunk can hold four large suitcases, no others.
The Impala has the biggest trunk able to hold four large suitcases and two smaller ones.
The Kia Cadenza can hold four large suitcases, no others.
The Hyundai Azera can hold four large suitcases, no others.
All four used you can get in your price range - probably five years old or thereabout (2013 or a little earlier).
Note none of these get fantastic gas mileage. You can go for the Avalon hybrid and get a hybrid but then you lose trunk space and they are more expensive. For ride and handling, the best is probably the Chevy followed by the Kia/Hyundai and finally the Toyota as they are not known for handling, particularly that model.
Best of luck.