Hmmm, with not much headroom, not sure.
I make a sled about a couple inches longer than desired wedge, then screw it to a longer base, at least 6" longer on both ends.
If not longer , it will push down into my conveyor and make a dip in the wedge...
You can put the stop for wedges on with a couple dots of CA and pop them off if you need to change length of wedge...
Then a pc under the top sled, and slide it back til you get the end tapered feathered and the butt thickness you want.