Can you be more specific as to what psychic powers? The three others you can get anyway by wielding the right items as a fighter.
Immunity to Charm ? Helm of Charm Protection would be forbidden to this kit so sure the Shield of Harmony could be used but what if you want to use a two handed weapon or dual wield? This kit would need it as an innate IMO.
Mind Shield ? I was thinking along the lines of the ability you can get from the Deck of Many things, but this might work better as a just a normal power with a duration. What would be really cool would be scripting things such that this ability was permanent but gets suppressed when other powers were used. If you are going to use powers then your Psionic Warrior would be as vulnerable as a normal.

Immunity to Int Drain ? as far as I know the only way you can get this for a PC is via mod items. I personally will not be using Item Upgrade anymore so there would still be a place for this in a kit IMO. Upon further reflection though I?ve thought that this might make a better HLA than a kit ability. Call it Fortified Mind, Mind Bar, or Sour Brain. If you wanted to go TGM side effect style then it could be an ability with a duration that prevented the use of other powers when active
As for other powers I was thinking that in general to avoid powers that affect multiple targets ? those would be more in the providence of a pure Psion or at best HLAs IMO.
Given that off the top of my head a list might look something like what follows. Keep in mind that I haven?t had a chance to really dig back into my
D&D sourcebooks yet or finish browsing through what is actually in the game and in the Tactics mod, which includes some psi stuff for Mind Flayers and the like.
PsychomotabolismBody Weaponry ? would grant protection something like the Armor Spell & a Claw ?weapon?
Cell Adjustment ? a self healing power ? maybe like Mazzy?s
Healing Touch ? would cure poison, disease, & some damage but would cause the Psionic Warrior a few
HP of damage when used on others.
TelepathyParalize ? much like hold person or monster
Possess ? much like domination
Empathic Attack I ? a fear like ability.
Empathic Attack II ? something like the mage spell Empathy except that it affects one target and has a negative modifier for the save.
Confusion ? per the mage spell
PsychokinesisBallistic Attack ? piercing damage attack (TK to throw small stone)
Molecular Agitation ? magic fire attack (TK to heat up target)
Disintegration ? maybe a HLA. Per mage spell.
DivinationSee Aura ? like Know Alignment.
Clairvoyance ? as per one of the remote viewing mage spells