Check to make sure there is battery fluid (if it is not a maintenance free battery). And check the tire pressure.
Also if you haven't changed the fuel filter in two years or so, now might be a good time.
You should not have problems with the alternator. And most times, if it goes, it will start with flickers on the charging light at high rpms (usually higher than 70 mph). Should that happen, slow down (to 60 ???) and you will probably make it to your destination.
I doubt you will need to change your oil after the trip. Just do your normal 3K or so and you will be fine.
Enjoy your trip. Our Contours are not as bad as most people say it is.