Sorry about that!!!!
We have a Hustler zero turn which does wonders. Most zero turns use less fuel than a small tractor, will do a better job of mowing, and will cost less.
If all you are doing is mowing and possibly pulling a small sled/wagon then I would not invest in a tractor were it me.
Look into well regarded brands such as Hustler, Ariens (multiple badges), etc. If you have a steep incline look for low center of gravity. FWIW Dixie Choppers are fine machines but I have been told they are expensive to repair and use alot of fuel per acre BUT they will cut faster than other brands and cost more.
Possibly look for a one or two year old commercial trade in. Go to several independent mower dealers and try out their used stock as well as their items that are on clearance/NOS. You will only be using the mower a few times a year so it will not receive the same type of abuse as a commercial outfit will give them. A re-built might also be a good value.
If you do go the route of a smaller tractor you might think about a front end loader to carry your tools and allow you to move dirt/rocks/other items. With a tractor you can also go older for cheaper.
I would expect you to put about 100 to 150 hours a year maximum on the unit whichever way you go. We bought a 54" Raptor for less than $3K new and it cuts faster than our tractor using less fuel. Of course, really thick stuff gets the tractor as the zero turn cannot handle extremely tall or rough mowing.