Don't know about Red Mage, but you'd have to have some pretty good healing to endure a lot of what it had I know some classes that could solo some of the first set of turns no longer can thanks to the loss of certain skills (Sustain). And on youtube I'm only seeing Coil Turn 1 to Turn 5 with solo attempts, so I don't think anyone has managed to get any others done besides the first five.

You're better off starting a PF group for it instead of waiting to do it solo, for some reason.