douillon,
Yeah you definately want the table higher than it is. I don't own one of those cases, so I am not exactly sure what comes with it as far as adjusting, My only recommendation would be to try a store like PSSL, or other shop that sells the soft foam, you can get it in varyng thicknesses that you can use to raise the tt up a bit.
Maybey Joey, or Skilz have a better ideal, as they would be more familiar with the case than I.
BTW, I fixed your images for you and don't worry you're no inconvienience