I would absolutely go with the chemical stripper. It simply has to be quicker whilst still leaving however an even finish the frame was manufactured with. Specialized have a rather nice brushed finish, which is what led me to refrain from doing the full polish on my next frame (SX Trail). You won't know until you get the paint off what kind of finish the frame has, but using rotary tools is only going to increase the chances of an uneven finish. I did use a Dremel to tidy up some of my tool scratches on the Big Hit, but I really would not have liked to have done the whole frame mechanically. With strippers, around 80% of the paint will simply drop off after about ten minutes.
It takes me about fifteen minutes to strip the bike of parts and dismantle the frame, another thirty or forty to mask the bearings (needs one mask of plastic tape and two masks of paper (masking) tape) then, with lessons learned from the Big Hit, maybe about three or four hours to entirely remove the paint. My hardtail frame (SubZero) was done in about two and half hours. It would have been less, but Orange use powdercoat and the thicker stuff around welds is very stubborn.
The trick with welds and stubborn parts is just to be patient. Apply stripper, leave it work for five minutes, then use a toothbrush to disturb the paint that has broken free. Keep applying a little stripper to the area and leave it to react with the paint. Basically, the longer the paint is in contact with pure (unreacted) stripper, the quicker it will lift.