Double check prices with shipping against your local lowes or home depot. That shipping will run the price nearly into exotic Lumber price ranges. That requires a lfrb. Your mfrb side load won't hold 3 board feet in 6 inch. It will only clear 11.something on width. 13.something on length and your 4/4 means 3 layers not over 3and 3/8 thickness total. If you are 8 inches wide you will get right at 2 board feet.
where I live we have 3 or more sellers of kd oak at very reasonable rates.. I also have a few cabinet makers that I might get kd oak from. I don't kiln so that would put me out anyhow.
@gvwp or
@Flacer22 may have some. There are others, just can't think of their handles at the moment.