O.K. this is probably going to start a major controversy but I'm going to tell you what I do in that case. I simply put a layer of black plastic (or clear or whatever plastic) over the offending weeds and cover with mulch. It's like a bad little secret - nobody knows it's there and it's killing the weeds. And yes, I've heard a thousand times before "that will definitly kill your plants. I haven't lost one yet. I have it all around my roses, shrubs, riverbirch, boxwoods etc. I do not do anything like that around the base of camellias.
I am very sensitive to any sprays or chemicals - I will occassionally spot treat with round-up but in general I become ill almost immediatly when I am exposed to herbicide or pesticide. Also I do not have the time to hand weed an acre. I have a full-time job and also work the occasional weekend - weeding is not an option. Sooo.... plastic is my friend. I can usually remove the plastic from the bed after a year or so. I know that sounds like a long time but we have some weeds here that it takes that long to kill.