Actually the hedgetrimmer idea is probably better with weeds over 8" inches tall, and even though the string trimmer is light it really isn't as handy as it could be...
I have the Echo series attachment, with which I can movethe blade to be parallel with the ground and make pretty good time that way... But,,, at my age,,, I'd be taking a lot of breaks... I might do a few hours a day for a week or so...
Setting the hillside on fire would be the best way to go...