What kind of engineering?
Have you visited CMU? I would not recommend an ED application unless you have visited and felt like it was a good fit. It’s an excellent school but it’s not for everyone, and the “vibe” in person doesn’t always align with the impression one can get from researching it online.
Why Pomona if you want engineering? Swat at least has a general engineering major, but that’s still quite a different experience from most engineering programs. If you do want general engineering and you like the Claremont Colleges, the obvious answer is Harvey Mudd, as has already been pointed out.
Have you considered Rice? You have both CMU and Vandy on your list, which have nearly opposite social vibes; I feel like Rice kind of splits the difference, with some of CMU’s nerdiness but also some of Vandy’s social energy (albeit via inclusive residential colleges rather than via Greek life). Rice gives a pretty good ED “bump” too.
That said, you’re reaching pretty high here. Your stats and rigor are excellent, but not in a way that’s going to stand out among CA applicants to Stanford, for example. And your ECs are, again, great, but not in a way that will stand out at such highly-rejective schools. IMHO, this record coupled with “solid but not extraordinary essays” is not quite going to put you over the top at most of these schools. I read your summary, and look at your list, and think that 1) UCD is the most likely outcome, and 2) I think you’ll get into Davis but it’s not a slam-dunk - you need safer options too. (Also, UCD is a terrific school with a great undergraduate experience - would not be a bad outcome in any way!)
CWRU and U of Rochester seem to fit the pattern here and would be worth a look.
I don’t mean to be a downer, and I don’t mean to criticize your record; you’ve done a great job in high school. You just need to not underestimate how tough it is for “unhooked” applicants to get into schools like Stanford, Brown, Vandy, etc. When you take out the recruited athletes, legacies, celebrities, etc., the percentage of “regular” high-achievers who get into these schools is often, like, 2-3%. They don’t need a reason to turn you down; on the contrary, they need a compelling reason to accept you, above and beyond an excellent academic record and a nice collection of EC’s.
There are SO many places where you can get a top-notch engineering education, though. Tell us more about what interests you.