Sorry to hear about your pinky! I have one pinky that is permanently fatter than the other from a similar incident. Majesty hard to fit in my nose...
What mortar are you using? Fireclay and sand?
I would try affixing expanded metal mesh to the underside of the concrete board with screws, skim coating that with refractory mortar and pressing this down into a mortar bed on top of the cinder blocks.
Mind you, the board at not have the strength to support being sat on,so you may still want to pour a slab atop of it.
Alternatively,build a form and pour in place.
The sides
should rise a little above the top of the cinder blocks.
The bottom should fit inside of the blocks,held a little below the top of the block walls with vertical lengths of 2x4 .
Pour a slab reinforced with fibers and/or metal mesh.
There should be an access point for inspection and cleaning, use this to remove the 2 X4's.
Leave the bottom of the form in place, to be burned out ,or perhaps use the cement board.
The cement board might crumble in the heat, but that could be removed via the inspection/cleaning port.