When I volunteered for the sawmill at the local thresheree a couple years ago they had a two-bladed saw with one of the blades adjustable side-to-side, that they used to saw slabs into boards with one pass. Nifty little thing. Scary as hell, but it had its own power feed. Anyway...
I don't see why you couldn't do the same thing with the table saw if you set your blade height just a little higher than the board, and made a sacrificial wooden pushpad with a nice high handle and grabby rubber for a bottom, like an old mousepad or something like that. Or someone else's mousepad. That would accomplish the same thing as a power feed, safely.
You could put it on top of the board and just push it all the way through the cut and all it would do is run some grooves into your sacrificial push pad thingee.
I'd wonder if there was a way I could put splitters behind each blade but I don't know if that would be mandatory of the pushpad was firmly holding the wood as it went through the blades.