Hello, Dan, and welcome to Piano World!
I started out with a console, and have gone down the same road you are going down, and ended up with 3 grand pianos, 4 uprights and a digital piano.
That said, I have heard that the Everett brand pianos were good pianos, and some of them in later years were made by Yamaha, if I'm not mistaken. I have also heard and read that the older Everett uprights were well made pianos.
So, what you already have is a known entity, to you anyway. You could find a good piano tech, who is familiar with hammer voicing, and have it voiced, but in my view, the voicing will only take the edge off the shrillness and brightness that is already there. It will not drastically change the tone from bright to mellow, though it will be less bright, which would be an improvement to an extent.
That will be your lowest cost option, most likely, unless you find a really cheap upright closeby, or even a freebee, in good condition.
I too like the deep, rich sound of the older upright pianos. But they usually need work of some sort, although sometimes you come across one that is in decent playable condition as is.
You mentioned the Baldwin Hamilton 243. I owned a 243 for a time (a 1985 model), and I enjoyed it a lot. I am speculating here, but I would say, depending on the condition of the Baldwin 243, that it would sound somewhat richer and better than your Everett console, but that is not a given.
Usually, when it comes to upright pianos, the taller the better, in terms of quality tone, particularly in the lower bass section. But there are always exceptions, and there are some smaller uprights out there that sound and play well.
$1000 is not much of a budget to work with when it comes to buying acoustic pianos, but the less you want/have to pay, the harder you have to look for something you like, that might be in decent condition.
Good luck and keep us informed of your decision!