My experience is that if you want to actually travel with an airplane, get something that has more seats than you need. By the time you get the bags and people in, you will be grateful for the space!
I had a Piper Saratoga II TC for a few years and thought that was a pretty good airplane for the mission that you are describing and it seems to be within your budget. It could comfortably handle my family of five; has a back door for passengers to enter and exit; had a reasonably large baggage compartment, also with it’s own door; it is a very stable IFR platform; and I would fill the tanks to about 3/4 and could fly for three hours. The fuel burn on it is a bit high for a single, but you get about 160 kts TAS. I had an Aztec that burned about twice as much and only got 170 kts, so that was pretty good.
The negatives of the airplane are that it burns a bit more fuel than some of the other options, it is not the sexiest of the options out there and it drives like a truck.
I am one of those people that really liked to have turbocharged engines, even though the vast majority of my flying was in the Southeast. My feeling about it was that I liked to fly between 9,000 and 11,000 because the air is smoother, there is less traffic and altitude in a single engine aircraft is never a bad thing to have.
Good luck in your search and I am happy to answer any question you might have!
Abram Finkelstein
N685AS