About no-drugs.... you're not going to find someone who will do that, I suspect.
The issue is that if the twins are being delivered naturally, there's a risk that baby B will go into distress -- for instance, by his/her cord coming down the birth canal with baby A.
If that happens, it's an emergency C-section for baby B. For that reason, even a vaginal twin birth will likely be in an operating room, just in case. And if you're not already being medicated and they call for an emergency C, you will get a general -- they have to work too fast for anything else.
I struggled with that... but felt like I had no choice but to get an epidural. As it turns out, twin B turned transverse in between my last ultrasound and the day my water broke, so I ended up with an "urgent C" -- which led to a spinal block. (I was at 4cm and fully in labor when I arrived, and they wanted to get the C started before baby A arrived vaginally...)
BTW, I didn't have an epidural with DS1, so I can't compare epi with spinal, but I didn't like the spinal recovery at all. Lots of headaches and pressure -- the solution to which was caffeine...
As far as the doc -- make sure you find someone you like and feel that you can trust. You'll be seeing them a lot more often than you did with your first two....
mommy to three boys: A, 3/04
and identical twins B and D, arrived 9/08