I was in a similar boat to you, apart from I didn't find the biopsies too bad at all - didn't feel them in fact. The biopsy results came back as CIN2 and my lovely consultant did phone me and ask me whether I wanted to have the LLETZ done under GA, as I have a medical phobia and was quite anxious about it.
I decided to go ahead with it under local, because most people on here said that the biopsies were worse than the LLETZ and also because I'd never had a GA and was worried about recovery times (I am self-employed so no work = no pay!)
I went for the appointment, and unfortunately both times the doctor tried to give the local anaesthetic, I nearly hit the ceiling. I found it really, really painful. She said that maybe I am just really sensitive down there, but that doesnt entirely make sense, as I didnt feel the biopsies at all.
Anyway, to cut a long story short, my lovely doctor told me quite firmly that she wasnt going to carry on and have me walk out of there traumatised, so she wanted to book me in for LLETZ under GA. That's what I had, last Friday. I would say that if you're scared stiff by the whole thing and afraid of being in pain, it's the way to go. I would definitely do it again if I needed another round of treatment. Fall asleep and wake up when it's all over :-)
I am pretty much back to normal now, after a mildly spinny head at the weekend, the only lasting effect seeming to be an odd tendency to wake up at 5am! Not sure what that's all about, but I wish it would stop now.
So in short, if you think you will struggle to cope with it under LA, I would recommend just asking for a general. If the doctor who did your colposcopy is as nice and sympathetic as mine, it shouldnt be a problem
All the best