I already have the inverted splitter, what you just described is common when you start getting into multiple split wedges. I had a Woodeze Firewood Processor years ago when I was in the campfire wood business, really easy to fubar something pretty bad when trying to split knotty stuff and it had a 4 way wedge, or you got to take a 8lb maul and beat the piece out backwards before it screwed something up. In retrospect I should have kept the processor even though cutting just for the house would have barely kept it limbered up.
I have the single wedge on mine but built out of 1" plate, I plan on redoing it one of these days and going to a 4 way but instead of changing the wedge I was going to make a 30" long wedge and just raise it all the way in the frame until the "wings" rested against the splitter frame so it can be used as a single.