Since you are in bedrock (ledge), why not install some anchorage into the rock to help against the uplift. Remember you are talking about a concrete boat. You certainly can design that lower slab to resist the uplift pressures. I would assume water table all the way to the adjacent ground elevation. Don't depend on the ground water leaking out at the lowest adjacent land elevation, but use the highest adjacent land elevation for future water table.
I'd do this in addition to any drainage and pumpage schemes, since they can fail when weather is bad and water is plentiful.
then, comes the big question. What does your building weigh? If it does not have sufficient weight, when empty to be well in excess of that uplift on the bottom, the buiding will float. I've seen this happen with swimming pools when empty.
You may try some "anchorage" by using the backfill to the sides of the basement, but with a big safety factor and submerged unit weights also. That resistance might not be there on some occasions in the future.
That is why the recommendation to install extra uplift resistance with rock bolts into rock below the slab. The "ledge" rock that they are in should be assumed to be submerged also, with the submerged unit weight as doing the resistance to uplift. With many such anchors, your slab will not hve to be so strong in bending resistance.
Your structural question for slab design is easly answered, but more importantly will the building float and what are you doing to resist the floatation?