I can't say that no one's ever done a two way truss rod in a skunk stripe, but I can tell you that traditionally they are one way just a metal bar threaded on end w/ an anchor on the other (only exerting force towards the fretboard), & I think it'd be a bad idea to do a 2 way rod in that design (both because the pressure on the skunk stripe & because 2 way rods usually sit in strait, rather than curved slots)
I missed where you talked about rotating it sideways, I see no reason why it wouldn't work, but I don't really see a benefit either. Honestly, like I said earlier, I think the best thing to do is the make a fretted plank long enough to put a bridge on one end & tuners on the other (ideally out of something hard and cheap like unfigured hard maple), string it up & see (if it doesn't implode &) how much you like it.