I'd go with the 6 footer...
The initial mowing might be slower...and you may have to take partial width passes on thick stuff. Follow up mowings, assuming you mow regularly, will be faster and less work. A cutter wider then your rear tire width allows you to get closer to fences and other obstacles.
However, 6 foot cutters can be a lot heavier then 5 footers as well as more cumbersome.
BTW, do carry a brush or something to clean off your grills...heavy brush mowing can generate a lot of dust and pollen. You don't want your tractor overheating. If your tractor is an open station machine, consider wear a dust mask too.