I do not know your tractor but 7' can give my 265 MF (60 HP) a fit shaving the ground in two years of growth of fescue. Chipping 12'-18' grass is nothing.
HP is not my big concern because being 2WD it takes a lot of weights up front. My cutter does state Heavy Duty on the side. Hauling it can be a pain if the trailer is not real long trying to get enough tongue weight.
With a FEL and or 4WD you should be fine I expect. I only keep one front tire in the unmowed area so I am only cutting about 6 foot. In really heavy stuff to keep up my ground speed (for the not so thick spots I may only cut 3-4' foot.
A heavy cutter is hard on the arms when lifted if the weight is shifting but I like wider about 98% of the time.
That is a nice size tractor you have.