(If Keltham knew Carissa's impression of his own thought processes, he would give a sad wry half-smile. His half-disciplined thought processes, nearly perfect? He's some wild kid, not a Keeper. The Keepers would also laugh, at the same thought; they're not superintelligences. Superintelligences capable of laughter would laugh too; they're not unbounded. What unbounded agents capable of laughter might laugh about is unknown, but linear extrapolation says it would probably be something.)
And Keltham goes on thinking about the god-of-Keltham. Well, that and occasionally rehearsing some short-term memories he needs to keep. Asmodeus, Abadar, Norgorber; Calistria, Nethys. Abadar runs the banks and Osirion; Norgorber is about violating regulations and killing people for money; Calistria does revenge and inversions of status; Nethys, knowledge and magic and mad experimentation.
Keltham notices that he has now been thinking for a while about the proverbially difficult and crucial problem of Finding a Cofounder, in the special case of finding a god; is he still thinking about the right thing? Should he be thinking about something else instead of this? Like deciphering and abstractly-reversing the specific way that Carissa was filtering his info, if she was in fact doing that? But Keltham may not realistically have enough info to figure out what Carissa could have hidden from him (or even outright lied about); he is too unfamiliar with this world. Across whatever unknown distance, it is not an epistemically safe stretch to presume even that, just because Carissa is shaped like a human being, she would like to have more money.
There is the question of what really happened after the plane crash, of why the whole impossible thing. There is the challenge of decoding a whole new world that has not as yet been reduced into math, nor into things that look like they should reduce to math. But the tractability of that is unknown. Whatever discoverable insights wait there could influence arbitrary decisions in arbitrary ways, it is not safe to assume even that the parts he could figure out in an hour will not influence decisions in the next hour. But there are not known missing insights like that.
Right now, Carissa thinks he should work with the Asmodean faction, but Keltham has not yet talked to Asmodeus about the local equivalent of equity allocations; that is a known open question. Before talking to Asmodeus he might want to search on the god that fits Keltham, in case the first god he meets tries to cleric him. So thinking about that.. still seems like the schedule-blocker? This is what he should be thinking about?
Enough meta-scheduling; on to the meta of figuring out how to figure out the god that fits Keltham.
Carissa didn't mention any Chaotic Evil gods at all, unless he's forgotten that part. If Carissa is trying to hide things from him, does that mean that Keltham should be searching for ideals that are more individualistic and selfish? But there's too many different possibilities for what Carissa could be hiding; he shouldn't stake a lot of time-mind-resource on hoping he got that guess right.
It's tempting to approach the problem by asking which gods would be most helpful for his Golarion industrialization project; or which gods would give him the largest equity allocations, if that's how Good works (it probably doesn't). But on reflection, looking for the most exploitable god may be the wrong idea on a deep level, if other things Carissa said weren't false. To become a cleric of a god, he needs a god that resonates with something deep inside him, preferably something that would make him feel good about working with a smarter person who had the same feature. Some goal that Keltham shares, some ideal that Keltham holds... the god that tries to make a world into which Keltham would fit in a way that he never fit into dath ilan... obviously Keltham wished dath ilan had been more individualized (Chaotic?) and had more room for non-unselfish good (Evil?). But the feature needs to be more specific than that, gods are not just alignments...
Does he already know what his god looks like? Before doing a lot of setup work on a problem, you should check to make sure you don't already know the answer.
Keltham doesn't think he already knows. A few seconds of direct soul-searching doesn't solve it. But in terms of how to productively think for longer... this seems related to the writing exercise for Environmentalized Intrinsics, doesn't it? He's never actually gone through that exercise, but he has heard of the concept, in detail, via sheer memetic contamination at gatherings he has ever attended. Doing that exercise seems like it might also turn up the features of the god-who-matches-Keltham?