Oh IK. That just sucks. I too live in south Texas, and I'm planning to move to upstate NY in May; if it falls through I'll be heartbroken to have to deal with the heat again. I've dealt with it 3 times, and even though I now have an extensive collection of breezy tops, some shorts and light capris, and even a couple sun hats, that does not make me any happier to have to wear them for half the year, plus the odd hot day in winter too (can't we have a couple months respite?). Like you, I deal with cold far better than hot, and am usually at home all day, but for financial and environmental reasons I keep my a/c at 77 and just chug ice water and smoothies and slushies as much as possible, which makes it almost bearable as long as I'm barely wearing clothing (see breezy tops and shorts). Let's not talk about daily walks and any desire to get 'fresh air' when it stays in high 80s and 90s even after sunset. *shudder*
All of that was to let you know that I completely commiserate & have a lot of sympathy. It's not just a season; it's over half the year. Really, if you consider a high of 80 summer, it's at least 2/3 of the year if not more. And 100 is as far from 80 as 80 is from 60, which I think people lose sight of sometimes, lumping anything over 80 together.
With all of that being said, perhaps you could buy pieces that you can also see fitting into your new life in the PNW? From a layering standpoint I mean? This blog is by a woman in Seattle, it's mainly about clothes she sews for her daughter, but she sews for herself too, and she seems to use a lot of linen. So perhaps dresses or tunics and tops that work by themselves for a hot summer at home could also have new lives after your move? That's the only thing I can think of for making you hate it less.
Personally, I use summer-weight clothes in fall colours to console myself when it's over 100 in September, but you have a much tighter colour palette than me, so that's probably not going to work for you. I also started wearing brooches so much because of the heat here, again another form of hot weather compatible comfort. Not saying that would work for your style, just sharing my own coping skills (the sun hats make me feel better too).