Increase factotum spell casting pool

A factotum (3.5e dungeonscape) can "fake" casting spell with the ability arcane dilettante.

This allows to spend inspiration points to "cast" spells from the sorcerer/wizard spell list as spell-like ability.

The limitations are three fold :

  • number of spell per day capped by the aforementioned ability advancement (up to 8 at level 20)
  • max spell level also capped (up to 7th at level 18
  • only one spell of the maximum level (the rest may be distributed however the player likes)

The question is : is there any proposition to circumvent (at least partially) these limitations or to increase the limit ?