I'll throw in my hat as an interested player. But if someone else posts sometime soon who's more Eberron-savvy and Eberron-loving, I'll back out.
I say that because my Eberron knowledge is somewhat limited - I don't have the ECS or any Eberron supplements. All I got is some 8-9 Eberron novels on my bookshelf, reading Shilsen's Eberron campaign storyhour, and what else I've read about Eberron on the Internet and in Dragon Magazine. If that's alright, then I am interested, though I don't know how Eberron's action points work (other than that I think I know enough setting-wise....).
I'm thinking of a human psychic warrior, who'll focus on some healing powers (Vigor and Biofeedback early on, then on to Body Adjustment, Body Purification, and Empathic Transfer). Maybe even take a few Expanded Knowledge feats later on for the Egoist Psion powers that help with healing. And of course he'll probably carry a big sword and wail on things a lot.
He might've learned to awaken his psionic gifts thanks to the party's Psion, even, as a link between the characters.