I've been using Dynabooks (no longer made by Toshiba) for precisely this reason. They have a variety of strange models that can give you low resolution display

I've been using Dynabooks (no longer made by Toshiba) for precisely this reason. They have a variety of strange models that can give you low resolution displays with very long battery life. The only problem is that I'm not sure you can find those weird configurations outside of Japan. Now that they are a Taiwan company, I'm hoping so (especially because I'd love it if the concept would catch on). Anyway, troll their truly horrible website, using the search function. That's how I tend to find the model I need. Also, note that in Japan the price on the website is inflated. I found that if I "became a member" (give them my email address), the price was 30% off. No idea why they have such a bizarre (and seemingly counter-productive) pricing system. No affiliation with Dynabook or Toshiba -- just been my goto laptop for 10-15 years.