bkcook, where in SC are you? Sounds like midlands. I'm up in Rock Hill. My property is in Fairfield. I'm not saying what I did is what you should do but I got a 45 hp Kubota L4400 4wd with loader. It is a pretty powerful tractor. If you have plenty of time to mow you can certainly do it with a 6 foot mower but I agree with Soundguy that it would get quite tedious. I have pulled a 7' heavy duty mower with the L4400 with no problem but it is not rated for anything bigger than a 6' on the 3pt hitch. I think it could pull an 8 foot pull type with no problem. I have used the L4400 to clear planted pines (with the FEL) of around 4-6" diameter and an occasional 8 incher if the ground was wet enough.
The L4400 is a very basic gear drive with no frills, but still outside your price range. I got mine at York County Kubota for less than $19,000 but got it at 0% interest which made the deal possible for me.