I think you will need something bigger than 8hp. I have a 9hp chipper shredder, key start and it might do a 3" limb, I guess that is what you mean you have 3'.
It is a nice unit, pull behind, very good around my 2 acres and a garden. It really works on corn stocks and then I can use them for mulch in the garden.
Mine is a Mighty Mac. Very nice unit.