In terms of armor that won't cause ASF, there is one other exception I found, but requires a 2 level dip into Soulknife using the Mind Armaments ACF. The Light Armor from it can be enhanced with the 2nd level class feature selection 'Improved Armor' to be treated 'as if not wearing any armor'. Dunno if I quoted this all by verbatim, but point is it's +4 AC able to be worn basically at all times and not suffer ASF. Sure it is a 2 level dip, but arguably well worth it.
This also has the perk of being able to sleep in said armor (Since you're treated as if not wearing it, no exhaustion penalties to concern one's self with) which can be useful if ambushed. It's possible to use this to give AC a really nice bump (Using Tattooed Monk's ACF and Draconic Bloodline along with this, looking at an easy +6 AC without ASF whatsoever. Nab up Shield and enjoy a net +10 AC and immunities to Magic Missile. Granted takes 5 levels in all in investment).
Soulknife is not tough to get GMs to approve since it's more melee focused than Psionic-focused (pardon the pun) so worth the effort IMO. Not to mention it's not too hard to use the same 2 levels to be able to emulate the natural weapons of a dragon, beautiful for those wanting some draconian themed character (Gauntlets with the slashing attribute = mind claws :3).