My solution has been to mill the 3" thick lab down over a two week period in increments, letting the board sit and move between steps. Then I figured that if a series of relief grooves were cut on the bark side of the slab would effectively neutralize the ability of the slab to move.
But you know, these are ideas and theories and solid wood cannot be predicted entirely. That's why I like solid wood - never boring!
The board, when i picked it up from the company that machined it down to 1.5" thick, was very slightly cupped towards the bark side. A 0.5mm gap -1/32" could be seen in the middle of the board with a straightedge laid across. That was how the board had moved in the 4 or 5 days since the final milling step.
I brought the board to my shop and set it up on an old table saw that is stored a few feet from my space. I left it alone for a couple of days and reinspected. Now it had bowed the opposite direction, towards the pith side, by about 1/16". I was a bit concerned, wondering where things were heading. I obtained a slab of metal weighing close to 100lbs and parked it on the middle of the board to force it back down, and added several clamps across the width.
I checked the next day and saw that it was now sagged in the opposite direction by nearly 1/16", so i removed the weight and left the clamps on. I also raised it onto 3" sticks so there was better air circulation.
Now a couple of weeks on, I have concluded that the relief grooves have worked as I had planned. While the board can still move up and down with humidity gain/loss, it is clear to me that the resilience of the board is much lower - it is very easy to push it back into a flat position. I am quite optimistic that the frame of the table will be more than enough to keep the table slab flat over time.
The relief grooves, therefore, have me grooving in relief!

Should be starting in on cutting the legs and apron parts tomorrow.