I think you had really best pay even more attention to drainage if you want to grow the integrifolia in the ground, and it will eventually get too big to stay in the pot, unless you bonsai it!!!
Try the Hinchinbrook Is banksia, which has beautiful silvery flowers, and should be available in your region.
Tony

Not native to your area but with good prospects are B oblongifolia, B spinulosa, & B robur, also worth a try. There is one from the Top End whose distribution extends into FNQ, but I can't think of its name off the top of my head.
Tony

Tam/Deon

I have successfully grown Banksia robur in heavy clay in Brisbane. Its native habitat is swampy. See the attached link - it should be fine in your area. The new flowers are a very attractive iridescent green.

Here is a link that might be useful: Banksia robur

Agree with Frank, I'm a good deal south I know, but our soil is heavy clay and I mixed in plenty of sand before putting the Robur in the ground.
They like it wet.

Cheers
Roy

As a general technique for getting temperamental plants to grow I have come up with a nifty solution: I grow the plant in a polystyrene foam box with suitable potting mix in it. then just place the plant in the final position and leave to grow. The plant will grow through the bottom, and over a few years you can pull away the foam and enoucage the root system.

Using this technique I've managed to grow darwinias, grumpy wattles and verticordias in our swamp soil. It worked for a euc caesia too.

B. robur likes wet clay soils once established, anyway.